Solution - Long division
Other Ways to Solve
Long divisionStep-by-step explanation
1. Write the divisor, which is 3, and then write the dividend, which is 1,000, in order to populate the table.
| TABLE_COL_WHOLE_DIGIT2_PLACE1 | TERM_TABLE_COL_DIVISION_ACTION | thousands | hundreds | tens | ones |
| / | |||||
| 3 | 1 | 0 | 0 | 0 |
2. Divide the dividend digits by the divisor one at a time, starting from the left.
To divide 1 by divisor 3, we ask: 'How many times can we fit 3 into 1?
1/3=0
Write the quotient 0, above the digit we divided.
| TABLE_COL_WHOLE_DIGIT2_PLACE1 | TERM_TABLE_COL_DIVISION_ACTION | thousands | hundreds | tens | ones |
| / | 0 | ||||
| 3 | 1 | 0 | 0 | 0 | |
We multiply the quotient by the divisor to get the product.
3*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 | thousands | hundreds | tens | ones |
| × | 0 | ||||
| 3 | 1 | 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 | thousands | hundreds | tens | ones |
| 0 | |||||
| 3 | 1 | 0 | 0 | 0 | |
| - | 0 | ||||
| 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 | thousands | hundreds | tens | ones |
| 0 | |||||
| 3 | 1 | 0 | 0 | 0 | |
| - | 0 | ||||
| 1 | 0 |
To divide 10 by divisor 3, we ask: 'How many times can we fit 3 into 10?
10/3=3
Write the quotient 3, above the digit we divided.
| TABLE_COL_WHOLE_DIGIT2_PLACE1 | TERM_TABLE_COL_DIVISION_ACTION | thousands | hundreds | tens | ones |
| 0 | 3 | ||||
| 3 | 1 | 0 | 0 | 0 | |
| - | 0 | ||||
| 1 | 0 | ||||
We multiply the quotient by the divisor to get the product.
3*3=9
Write 9 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 | thousands | hundreds | tens | ones |
| × | 0 | 3 | |||
| 3 | 1 | 0 | 0 | 0 | |
| - | 0 | ||||
| 1 | 0 | ||||
| 9 |
Subtract to get the remainder
10-9=1
Write the remainder 1
| TABLE_COL_WHOLE_DIGIT2_PLACE1 | TERM_TABLE_COL_DIVISION_ACTION | thousands | hundreds | tens | ones |
| 0 | 3 | ||||
| 3 | 1 | 0 | 0 | 0 | |
| - | 0 | ||||
| 1 | 0 | ||||
| - | 9 | ||||
| 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 | thousands | hundreds | tens | ones |
| 0 | 3 | ||||
| 3 | 1 | 0 | 0 | 0 | |
| - | 0 | ||||
| 1 | 0 | ||||
| - | 9 | ||||
| 1 | 0 |
To divide 10 by divisor 3, we ask: 'How many times can we fit 3 into 10?
10/3=3
Write the quotient 3, above the digit we divided.
| TABLE_COL_WHOLE_DIGIT2_PLACE1 | TERM_TABLE_COL_DIVISION_ACTION | thousands | hundreds | tens | ones |
| 0 | 3 | 3 | |||
| 3 | 1 | 0 | 0 | 0 | |
| - | 0 | ||||
| 1 | 0 | ||||
| - | 9 | ||||
| 1 | 0 | ||||
We multiply the quotient by the divisor to get the product.
3*3=9
Write 9 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 | thousands | hundreds | tens | ones |
| × | 0 | 3 | 3 | ||
| 3 | 1 | 0 | 0 | 0 | |
| - | 0 | ||||
| 1 | 0 | ||||
| - | 9 | ||||
| 1 | 0 | ||||
| 9 |
Subtract to get the remainder
10-9=1
Write the remainder 1
| TABLE_COL_WHOLE_DIGIT2_PLACE1 | TERM_TABLE_COL_DIVISION_ACTION | thousands | hundreds | tens | ones |
| 0 | 3 | 3 | |||
| 3 | 1 | 0 | 0 | 0 | |
| - | 0 | ||||
| 1 | 0 | ||||
| - | 9 | ||||
| 1 | 0 | ||||
| - | 9 | ||||
| 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 | thousands | hundreds | tens | ones |
| 0 | 3 | 3 | |||
| 3 | 1 | 0 | 0 | 0 | |
| - | 0 | ||||
| 1 | 0 | ||||
| - | 9 | ||||
| 1 | 0 | ||||
| - | 9 | ||||
| 1 | 0 |
To divide 10 by divisor 3, we ask: 'How many times can we fit 3 into 10?
10/3=3
Write the quotient 3, above the digit we divided.
| TABLE_COL_WHOLE_DIGIT2_PLACE1 | TERM_TABLE_COL_DIVISION_ACTION | thousands | hundreds | tens | ones |
| 0 | 3 | 3 | 3 | ||
| 3 | 1 | 0 | 0 | 0 | |
| - | 0 | ||||
| 1 | 0 | ||||
| - | 9 | ||||
| 1 | 0 | ||||
| - | 9 | ||||
| 1 | 0 | ||||
We multiply the quotient by the divisor to get the product.
3*3=9
Write 9 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 | thousands | hundreds | tens | ones |
| × | 0 | 3 | 3 | 3 | |
| 3 | 1 | 0 | 0 | 0 | |
| - | 0 | ||||
| 1 | 0 | ||||
| - | 9 | ||||
| 1 | 0 | ||||
| - | 9 | ||||
| 1 | 0 | ||||
| 9 |
Subtract to get the remainder
10-9=1
Write the remainder 1
| TABLE_COL_WHOLE_DIGIT2_PLACE1 | TERM_TABLE_COL_DIVISION_ACTION | thousands | hundreds | tens | ones |
| 0 | 3 | 3 | 3 | ||
| 3 | 1 | 0 | 0 | 0 | |
| - | 0 | ||||
| 1 | 0 | ||||
| - | 9 | ||||
| 1 | 0 | ||||
| - | 9 | ||||
| 1 | 0 | ||||
| - | 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 | thousands | hundreds | tens | ones | 6 | 7 | 8 |
| 0 | 3 | 3 | 3 | R | 1 | |||
| 3 | 1 | 0 | 0 | 0 | ||||
| - | 0 | |||||||
| 1 | 0 | |||||||
| - | 9 | |||||||
| 1 | 0 | |||||||
| - | 9 | |||||||
| 1 | 0 | |||||||
| - | 9 | |||||||
| 1 |
The final result is: 333 R1
Decimal and mixed form:
To get the decimal part of the result, divide the remainder (1) by the divisor (3) to get 333.333
or to write it in mixed form as
How did we do?
Please leave us feedback.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.