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Solution - Long division

2142857 R 1

2142857{\;R}1

Decimal form:

2142857.143

2142857.143

Mixed number form

2142857 \frac{1}{7}

2142857\frac{1}{7}

See steps

Step-by-step explanation

1. Write the divisor, which is 7, and then write the dividend, which is 15,000,000, in order to populate the table.

TABLE_COL_WHOLE_DIGIT2_PLACE1	TERM_TABLE_COL_DIVISION_ACTION	ten millions	millions	hundred thousands	ten thousands	thousands	hundreds	tens	ones
/
7		1	5	0	0	0	0	0	0

2. Divide the dividend digits by the divisor one at a time, starting from the left.

To divide 1 by divisor 7, we ask: 'How many times can we fit 7 into 1?
1/7=0
Write the quotient 0, above the digit we divided.

TABLE_COL_WHOLE_DIGIT2_PLACE1	TERM_TABLE_COL_DIVISION_ACTION	ten millions	millions	hundred thousands	ten thousands	thousands	hundreds	tens	ones
/		0
7		1	5	0	0	0	0	0	0

We multiply the quotient by the divisor to get the product.
7*0=0
Write 0 below the digits we just divided (1), so we can subtract to get the remainder.

TABLE_COL_WHOLE_DIGIT2_PLACE1	TERM_TABLE_COL_DIVISION_ACTION	ten millions	millions	hundred thousands	ten thousands	thousands	hundreds	tens	ones
×		0
7		1	5	0	0	0	0	0	0
		0

Subtract to get the remainder
1-0=1
Write the remainder 1

TABLE_COL_WHOLE_DIGIT2_PLACE1	TERM_TABLE_COL_DIVISION_ACTION	ten millions	millions	hundred thousands	ten thousands	thousands	hundreds	tens	ones
		0
7		1	5	0	0	0	0	0	0
-		0
		1

Since we have a remainder from the previous division, we bring down the next digit, which is (5), and add it to the remainder (1).

TABLE_COL_WHOLE_DIGIT2_PLACE1	TERM_TABLE_COL_DIVISION_ACTION	ten millions	millions	hundred thousands	ten thousands	thousands	hundreds	tens	ones
		0
7		1	5	0	0	0	0	0	0
-		0
		1	5

To divide 15 by divisor 7, we ask: 'How many times can we fit 7 into 15?
15/7=2
Write the quotient 2, above the digit we divided.

TABLE_COL_WHOLE_DIGIT2_PLACE1	TERM_TABLE_COL_DIVISION_ACTION	ten millions	millions	hundred thousands	ten thousands	thousands	hundreds	tens	ones
		0	2
7		1	5	0	0	0	0	0	0
-		0
		1	5

We multiply the quotient by the divisor to get the product.
7*2=14
Write 14 below the digits we just divided (15), so we can subtract to get the remainder.

TABLE_COL_WHOLE_DIGIT2_PLACE1	TERM_TABLE_COL_DIVISION_ACTION	ten millions	millions	hundred thousands	ten thousands	thousands	hundreds	tens	ones
×		0	2
7		1	5	0	0	0	0	0	0
-		0
		1	5
		1	4

Subtract to get the remainder
15-14=1
Write the remainder 1

TABLE_COL_WHOLE_DIGIT2_PLACE1	TERM_TABLE_COL_DIVISION_ACTION	ten millions	millions	hundred thousands	ten thousands	thousands	hundreds	tens	ones
		0	2
7		1	5	0	0	0	0	0	0
-		0
		1	5
	-	1	4
			1

Since we have a remainder from the previous division, we bring down the next digit, which is (0), and add it to the remainder (1).

TABLE_COL_WHOLE_DIGIT2_PLACE1	TERM_TABLE_COL_DIVISION_ACTION	ten millions	millions	hundred thousands	ten thousands	thousands	hundreds	tens	ones
		0	2
7		1	5	0	0	0	0	0	0
-		0
		1	5
	-	1	4
			1	0

To divide 10 by divisor 7, we ask: 'How many times can we fit 7 into 10?
10/7=1
Write the quotient 1, above the digit we divided.

TABLE_COL_WHOLE_DIGIT2_PLACE1	TERM_TABLE_COL_DIVISION_ACTION	ten millions	millions	hundred thousands	ten thousands	thousands	hundreds	tens	ones
		0	2	1
7		1	5	0	0	0	0	0	0
-		0
		1	5
	-	1	4
			1	0

We multiply the quotient by the divisor to get the product.
7*1=7
Write 7 below the digits we just divided (10), so we can subtract to get the remainder.

TABLE_COL_WHOLE_DIGIT2_PLACE1	TERM_TABLE_COL_DIVISION_ACTION	ten millions	millions	hundred thousands	ten thousands	thousands	hundreds	tens	ones
×		0	2	1
7		1	5	0	0	0	0	0	0
-		0
		1	5
	-	1	4
			1	0
				7

Subtract to get the remainder
10-7=3
Write the remainder 3

TABLE_COL_WHOLE_DIGIT2_PLACE1	TERM_TABLE_COL_DIVISION_ACTION	ten millions	millions	hundred thousands	ten thousands	thousands	hundreds	tens	ones
		0	2	1
7		1	5	0	0	0	0	0	0
-		0
		1	5
	-	1	4
			1	0
		-		7
				3

Since we have a remainder from the previous division, we bring down the next digit, which is (0), and add it to the remainder (3).

TABLE_COL_WHOLE_DIGIT2_PLACE1	TERM_TABLE_COL_DIVISION_ACTION	ten millions	millions	hundred thousands	ten thousands	thousands	hundreds	tens	ones
		0	2	1
7		1	5	0	0	0	0	0	0
-		0
		1	5
	-	1	4
			1	0
		-		7
				3	0

To divide 30 by divisor 7, we ask: 'How many times can we fit 7 into 30?
30/7=4
Write the quotient 4, above the digit we divided.

TABLE_COL_WHOLE_DIGIT2_PLACE1	TERM_TABLE_COL_DIVISION_ACTION	ten millions	millions	hundred thousands	ten thousands	thousands	hundreds	tens	ones
		0	2	1	4
7		1	5	0	0	0	0	0	0
-		0
		1	5
	-	1	4
			1	0
		-		7
				3	0

We multiply the quotient by the divisor to get the product.
7*4=28
Write 28 below the digits we just divided (30), so we can subtract to get the remainder.

TABLE_COL_WHOLE_DIGIT2_PLACE1	TERM_TABLE_COL_DIVISION_ACTION	ten millions	millions	hundred thousands	ten thousands	thousands	hundreds	tens	ones
×		0	2	1	4
7		1	5	0	0	0	0	0	0
-		0
		1	5
	-	1	4
			1	0
		-		7
				3	0
				2	8

Subtract to get the remainder
30-28=2
Write the remainder 2

TABLE_COL_WHOLE_DIGIT2_PLACE1	TERM_TABLE_COL_DIVISION_ACTION	ten millions	millions	hundred thousands	ten thousands	thousands	hundreds	tens	ones
		0	2	1	4
7		1	5	0	0	0	0	0	0
-		0
		1	5
	-	1	4
			1	0
		-		7
				3	0
			-	2	8
					2

Since we have a remainder from the previous division, we bring down the next digit, which is (0), and add it to the remainder (2).

TABLE_COL_WHOLE_DIGIT2_PLACE1	TERM_TABLE_COL_DIVISION_ACTION	ten millions	millions	hundred thousands	ten thousands	thousands	hundreds	tens	ones
		0	2	1	4
7		1	5	0	0	0	0	0	0
-		0
		1	5
	-	1	4
			1	0
		-		7
				3	0
			-	2	8
					2	0

To divide 20 by divisor 7, we ask: 'How many times can we fit 7 into 20?
20/7=2
Write the quotient 2, above the digit we divided.

TABLE_COL_WHOLE_DIGIT2_PLACE1	TERM_TABLE_COL_DIVISION_ACTION	ten millions	millions	hundred thousands	ten thousands	thousands	hundreds	tens	ones
		0	2	1	4	2
7		1	5	0	0	0	0	0	0
-		0
		1	5
	-	1	4
			1	0
		-		7
				3	0
			-	2	8
					2	0

We multiply the quotient by the divisor to get the product.
7*2=14
Write 14 below the digits we just divided (20), so we can subtract to get the remainder.

TABLE_COL_WHOLE_DIGIT2_PLACE1	TERM_TABLE_COL_DIVISION_ACTION	ten millions	millions	hundred thousands	ten thousands	thousands	hundreds	tens	ones
×		0	2	1	4	2
7		1	5	0	0	0	0	0	0
-		0
		1	5
	-	1	4
			1	0
		-		7
				3	0
			-	2	8
					2	0
					1	4

Subtract to get the remainder
20-14=6
Write the remainder 6

TABLE_COL_WHOLE_DIGIT2_PLACE1	TERM_TABLE_COL_DIVISION_ACTION	ten millions	millions	hundred thousands	ten thousands	thousands	hundreds	tens	ones
		0	2	1	4	2
7		1	5	0	0	0	0	0	0
-		0
		1	5
	-	1	4
			1	0
		-		7
				3	0
			-	2	8
					2	0
				-	1	4
						6

Since we have a remainder from the previous division, we bring down the next digit, which is (0), and add it to the remainder (6).

TABLE_COL_WHOLE_DIGIT2_PLACE1	TERM_TABLE_COL_DIVISION_ACTION	ten millions	millions	hundred thousands	ten thousands	thousands	hundreds	tens	ones
		0	2	1	4	2
7		1	5	0	0	0	0	0	0
-		0
		1	5
	-	1	4
			1	0
		-		7
				3	0
			-	2	8
					2	0
				-	1	4
						6	0

To divide 60 by divisor 7, we ask: 'How many times can we fit 7 into 60?
60/7=8
Write the quotient 8, above the digit we divided.

TABLE_COL_WHOLE_DIGIT2_PLACE1	TERM_TABLE_COL_DIVISION_ACTION	ten millions	millions	hundred thousands	ten thousands	thousands	hundreds	tens	ones
		0	2	1	4	2	8
7		1	5	0	0	0	0	0	0
-		0
		1	5
	-	1	4
			1	0
		-		7
				3	0
			-	2	8
					2	0
				-	1	4
						6	0

We multiply the quotient by the divisor to get the product.
7*8=56
Write 56 below the digits we just divided (60), so we can subtract to get the remainder.

TABLE_COL_WHOLE_DIGIT2_PLACE1	TERM_TABLE_COL_DIVISION_ACTION	ten millions	millions	hundred thousands	ten thousands	thousands	hundreds	tens	ones
×		0	2	1	4	2	8
7		1	5	0	0	0	0	0	0
-		0
		1	5
	-	1	4
			1	0
		-		7
				3	0
			-	2	8
					2	0
				-	1	4
						6	0
						5	6

Subtract to get the remainder
60-56=4
Write the remainder 4

TABLE_COL_WHOLE_DIGIT2_PLACE1	TERM_TABLE_COL_DIVISION_ACTION	ten millions	millions	hundred thousands	ten thousands	thousands	hundreds	tens	ones
		0	2	1	4	2	8
7		1	5	0	0	0	0	0	0
-		0
		1	5
	-	1	4
			1	0
		-		7
				3	0
			-	2	8
					2	0
				-	1	4
						6	0
					-	5	6
							4

Since we have a remainder from the previous division, we bring down the next digit, which is (0), and add it to the remainder (4).

TABLE_COL_WHOLE_DIGIT2_PLACE1	TERM_TABLE_COL_DIVISION_ACTION	ten millions	millions	hundred thousands	ten thousands	thousands	hundreds	tens	ones
		0	2	1	4	2	8
7		1	5	0	0	0	0	0	0
-		0
		1	5
	-	1	4
			1	0
		-		7
				3	0
			-	2	8
					2	0
				-	1	4
						6	0
					-	5	6
							4	0

To divide 40 by divisor 7, we ask: 'How many times can we fit 7 into 40?
40/7=5
Write the quotient 5, above the digit we divided.

TABLE_COL_WHOLE_DIGIT2_PLACE1	TERM_TABLE_COL_DIVISION_ACTION	ten millions	millions	hundred thousands	ten thousands	thousands	hundreds	tens	ones
		0	2	1	4	2	8	5
7		1	5	0	0	0	0	0	0
-		0
		1	5
	-	1	4
			1	0
		-		7
				3	0
			-	2	8
					2	0
				-	1	4
						6	0
					-	5	6
							4	0

We multiply the quotient by the divisor to get the product.
7*5=35
Write 35 below the digits we just divided (40), so we can subtract to get the remainder.

TABLE_COL_WHOLE_DIGIT2_PLACE1	TERM_TABLE_COL_DIVISION_ACTION	ten millions	millions	hundred thousands	ten thousands	thousands	hundreds	tens	ones
×		0	2	1	4	2	8	5
7		1	5	0	0	0	0	0	0
-		0
		1	5
	-	1	4
			1	0
		-		7
				3	0
			-	2	8
					2	0
				-	1	4
						6	0
					-	5	6
							4	0
							3	5

Subtract to get the remainder
40-35=5
Write the remainder 5

TABLE_COL_WHOLE_DIGIT2_PLACE1	TERM_TABLE_COL_DIVISION_ACTION	ten millions	millions	hundred thousands	ten thousands	thousands	hundreds	tens	ones
		0	2	1	4	2	8	5
7		1	5	0	0	0	0	0	0
-		0
		1	5
	-	1	4
			1	0
		-		7
				3	0
			-	2	8
					2	0
				-	1	4
						6	0
					-	5	6
							4	0
						-	3	5
								5

Since we have a remainder from the previous division, we bring down the next digit, which is (0), and add it to the remainder (5).

TABLE_COL_WHOLE_DIGIT2_PLACE1	TERM_TABLE_COL_DIVISION_ACTION	ten millions	millions	hundred thousands	ten thousands	thousands	hundreds	tens	ones
		0	2	1	4	2	8	5
7		1	5	0	0	0	0	0	0
-		0
		1	5
	-	1	4
			1	0
		-		7
				3	0
			-	2	8
					2	0
				-	1	4
						6	0
					-	5	6
							4	0
						-	3	5
								5	0

To divide 50 by divisor 7, we ask: 'How many times can we fit 7 into 50?
50/7=7
Write the quotient 7, above the digit we divided.

TABLE_COL_WHOLE_DIGIT2_PLACE1	TERM_TABLE_COL_DIVISION_ACTION	ten millions	millions	hundred thousands	ten thousands	thousands	hundreds	tens	ones
		0	2	1	4	2	8	5	7
7		1	5	0	0	0	0	0	0
-		0
		1	5
	-	1	4
			1	0
		-		7
				3	0
			-	2	8
					2	0
				-	1	4
						6	0
					-	5	6
							4	0
						-	3	5
								5	0

We multiply the quotient by the divisor to get the product.
7*7=49
Write 49 below the digits we just divided (50), so we can subtract to get the remainder.

TABLE_COL_WHOLE_DIGIT2_PLACE1	TERM_TABLE_COL_DIVISION_ACTION	ten millions	millions	hundred thousands	ten thousands	thousands	hundreds	tens	ones
×		0	2	1	4	2	8	5	7
7		1	5	0	0	0	0	0	0
-		0
		1	5
	-	1	4
			1	0
		-		7
				3	0
			-	2	8
					2	0
				-	1	4
						6	0
					-	5	6
							4	0
						-	3	5
								5	0
								4	9

Subtract to get the remainder
50-49=1
Write the remainder 1

TABLE_COL_WHOLE_DIGIT2_PLACE1	TERM_TABLE_COL_DIVISION_ACTION	ten millions	millions	hundred thousands	ten thousands	thousands	hundreds	tens	ones
		0	2	1	4	2	8	5	7
7		1	5	0	0	0	0	0	0
-		0
		1	5
	-	1	4
			1	0
		-		7
				3	0
			-	2	8
					2	0
				-	1	4
						6	0
					-	5	6
							4	0
						-	3	5
								5	0
							-	4	9
									1

If there is a remainder, we add it to the final result and write it as 'R' followed by the remainder value 1.

TABLE_COL_WHOLE_DIGIT2_PLACE1	TERM_TABLE_COL_DIVISION_ACTION	ten millions	millions	hundred thousands	ten thousands	thousands	hundreds	tens	ones	10	11	12
		0	2	1	4	2	8	5	7		R	1
7		1	5	0	0	0	0	0	0
-		0
		1	5
	-	1	4
			1	0
		-		7
				3	0
			-	2	8
					2	0
				-	1	4
						6	0
					-	5	6
							4	0
						-	3	5
								5	0
							-	4	9
									1

The final result is: 2142857 R1

Decimal and mixed form:
To get the decimal part of the result, divide the remainder (1) by the divisor (7) to get 2142857.143
or to write it in mixed form as $2142857 \frac{1}{7}$

How did we do?

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Why learn this

Hey students! Have you ever wondered why you need to learn long division? Well, let me tell you - long division is like a superhero power that can help you solve a lot of cool problems!

Here are 4 examples of how long division can be used in fun ways:

Pizza party time! Let's say you and your friends ordered 20 slices of pizza. How many slices of pizza will each person get? To figure it out, you can use long division to divide the total number of slices by the number of people at the party.

It's candy time! You have 60 pieces of candy and you want to share it equally with your three best friends. How many pieces of candy will each of you get? Long division to the rescue!

Are we there yet? If you're going on a long car trip and you want to know how long it will take to get there, you can use long division to figure out your average speed and the total distance.

Budgeting for groceries: Let's say you have a budget of $200 for groceries this month, and you want to know how much you can spend per week. You can use long division to divide your total budget by the number of weeks in the month.

These are just a few examples of how long division can be used in real life. By learning this important mathematical tool, you'll be equipped to tackle a wide range of problems in school, work, and everyday life.

Terms and topics

Long division