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Solution - Long multiplication

16.666666

16.666666

See steps

Step-by-step explanation

1. Rewrite the numbers from top to bottom aligned to the right

Place value	hundreds	tens	ones	.	tenths	hundredths	thousandths	ten thousandths	hundred thousandths	millionths	ten millionths	hundred millionths

										2	0	0
×			0	.	0	8	3	3	3	3	3	3
				.

Ignore the decimal points and multiply as if these are whole numbers (as if each most right digit is the ones digit):

In this case we removed 8 decimal place(s). So once calculated, the result will be reduced by the factor of 100,000,000.

Place value	billions	hundred millions	ten millions	millions	hundred thousands	ten thousands	thousands	hundreds	tens	ones

								2	0	0
×				8	3	3	3	3	3	3

2. Multiply the numbers using long multiplication method

Start by multiplying the ones digit (3) of the multiplier 8,333,333 by each digit of the multiplicand 200, from right to left.

Multiply the ones digit (3) of the multiplicator by the number in the ones place value:
3×0=0

Write 0 in the ones place.

Place value	billions	hundred millions	ten millions	millions	hundred thousands	ten thousands	thousands	hundreds	tens	ones

								2	0	0
×				8	3	3	3	3	3	3
										0

Multiply the ones digit (3) of the multiplicator by the number in the tens place value:
3×0=0

Write 0 in the tens place.

Place value	billions	hundred millions	ten millions	millions	hundred thousands	ten thousands	thousands	hundreds	tens	ones

								2	0	0
×				8	3	3	3	3	3	3
									0	0

Multiply the ones digit (3) of the multiplicator by the number in the hundreds place value:
3×2=6

Write 6 in the hundreds place.

Place value	billions	hundred millions	ten millions	millions	hundred thousands	ten thousands	thousands	hundreds	tens	ones

								2	0	0
×				8	3	3	3	3	3	3
								6	0	0

600 is the first partial product.

Proceed by multiplying the tens digit (3) of the multiplier (8,333,333) by each digit of the multiplicand (200), from right to left.

Because digit (3) is in tens place, we shift partial result by 1 place(s) by placing 1 zero(s).

Place value	billions	hundred millions	ten millions	millions	hundred thousands	ten thousands	thousands	hundreds	tens	ones

								2	0	0
×				8	3	3	3	3	3	3
								6	0	0
										0

Multiply the tens digit (3) of the multiplicator by the number in the ones place value:
3×0=0

Write 0 in the tens place.

Place value	billions	hundred millions	ten millions	millions	hundred thousands	ten thousands	thousands	hundreds	tens	ones

								2	0	0
×				8	3	3	3	3	3	3
								6	0	0
									0	0

Multiply the tens digit (3) of the multiplicator by the number in the tens place value:
3×0=0

Write 0 in the hundreds place.

Place value	billions	hundred millions	ten millions	millions	hundred thousands	ten thousands	thousands	hundreds	tens	ones

								2	0	0
×				8	3	3	3	3	3	3
								6	0	0
								0	0	0

Multiply the tens digit (3) of the multiplicator by the number in the hundreds place value:
3×2=6

Write 6 in the thousands place.

Place value	billions	hundred millions	ten millions	millions	hundred thousands	ten thousands	thousands	hundreds	tens	ones

								2	0	0
×				8	3	3	3	3	3	3
								6	0	0
							6	0	0	0

6,000 is the second partial product.

Proceed by multiplying the hundreds digit (3) of the multiplier (8,333,333) by each digit of the multiplicand (200), from right to left.

Because digit (3) is in hundreds place, we shift partial result by 2 place(s) by placing 2 zero(s).

Place value	billions	hundred millions	ten millions	millions	hundred thousands	ten thousands	thousands	hundreds	tens	ones

								2	0	0
×				8	3	3	3	3	3	3
								6	0	0
							6	0	0	0
									0	0

Multiply the hundreds digit (3) of the multiplicator by the number in the ones place value:
3×0=0

Write 0 in the hundreds place.

Place value	billions	hundred millions	ten millions	millions	hundred thousands	ten thousands	thousands	hundreds	tens	ones

								2	0	0
×				8	3	3	3	3	3	3
								6	0	0
							6	0	0	0
								0	0	0

Multiply the hundreds digit (3) of the multiplicator by the number in the tens place value:
3×0=0

Write 0 in the thousands place.

Place value	billions	hundred millions	ten millions	millions	hundred thousands	ten thousands	thousands	hundreds	tens	ones

								2	0	0
×				8	3	3	3	3	3	3
								6	0	0
							6	0	0	0
							0	0	0	0

Multiply the hundreds digit (3) of the multiplicator by the number in the hundreds place value:
3×2=6

Write 6 in the ten thousands place.

Place value	billions	hundred millions	ten millions	millions	hundred thousands	ten thousands	thousands	hundreds	tens	ones

								2	0	0
×				8	3	3	3	3	3	3
								6	0	0
							6	0	0	0
						6	0	0	0	0

60,000 is the third partial product.

Proceed by multiplying the thousands digit (3) of the multiplier (8,333,333) by each digit of the multiplicand (200), from right to left.

Because digit (3) is in thousands place, we shift partial result by 3 place(s) by placing 3 zero(s).

Place value	billions	hundred millions	ten millions	millions	hundred thousands	ten thousands	thousands	hundreds	tens	ones

								2	0	0
×				8	3	3	3	3	3	3
								6	0	0
							6	0	0	0
						6	0	0	0	0
								0	0	0

Multiply the thousands digit (3) of the multiplicator by the number in the ones place value:
3×0=0

Write 0 in the thousands place.

Place value	billions	hundred millions	ten millions	millions	hundred thousands	ten thousands	thousands	hundreds	tens	ones

								2	0	0
×				8	3	3	3	3	3	3
								6	0	0
							6	0	0	0
						6	0	0	0	0
							0	0	0	0

Multiply the thousands digit (3) of the multiplicator by the number in the tens place value:
3×0=0

Write 0 in the ten thousands place.

Place value	billions	hundred millions	ten millions	millions	hundred thousands	ten thousands	thousands	hundreds	tens	ones

								2	0	0
×				8	3	3	3	3	3	3
								6	0	0
							6	0	0	0
						6	0	0	0	0
						0	0	0	0	0

Multiply the thousands digit (3) of the multiplicator by the number in the hundreds place value:
3×2=6

Write 6 in the hundred thousands place.

Place value	billions	hundred millions	ten millions	millions	hundred thousands	ten thousands	thousands	hundreds	tens	ones

								2	0	0
×				8	3	3	3	3	3	3
								6	0	0
							6	0	0	0
						6	0	0	0	0
					6	0	0	0	0	0

600,000 is the fourth partial product.

Proceed by multiplying the ten thousands digit (3) of the multiplier (8,333,333) by each digit of the multiplicand (200), from right to left.

Because digit (3) is in ten thousands place, we shift partial result by 4 place(s) by placing 4 zero(s).

Place value	billions	hundred millions	ten millions	millions	hundred thousands	ten thousands	thousands	hundreds	tens	ones

								2	0	0
×				8	3	3	3	3	3	3
								6	0	0
							6	0	0	0
						6	0	0	0	0
					6	0	0	0	0	0
							0	0	0	0

Multiply the ten thousands digit (3) of the multiplicator by the number in the ones place value:
3×0=0

Write 0 in the ten thousands place.

Place value	billions	hundred millions	ten millions	millions	hundred thousands	ten thousands	thousands	hundreds	tens	ones

								2	0	0
×				8	3	3	3	3	3	3
								6	0	0
							6	0	0	0
						6	0	0	0	0
					6	0	0	0	0	0
						0	0	0	0	0

Multiply the ten thousands digit (3) of the multiplicator by the number in the tens place value:
3×0=0

Write 0 in the hundred thousands place.

Place value	billions	hundred millions	ten millions	millions	hundred thousands	ten thousands	thousands	hundreds	tens	ones

								2	0	0
×				8	3	3	3	3	3	3
								6	0	0
							6	0	0	0
						6	0	0	0	0
					6	0	0	0	0	0
					0	0	0	0	0	0

Multiply the ten thousands digit (3) of the multiplicator by the number in the hundreds place value:
3×2=6

Write 6 in the millions place.

Place value	billions	hundred millions	ten millions	millions	hundred thousands	ten thousands	thousands	hundreds	tens	ones

								2	0	0
×				8	3	3	3	3	3	3
								6	0	0
							6	0	0	0
						6	0	0	0	0
					6	0	0	0	0	0
				6	0	0	0	0	0	0

6,000,000 is the fifth partial product.

Proceed by multiplying the hundred thousands digit (3) of the multiplier (8,333,333) by each digit of the multiplicand (200), from right to left.

Because digit (3) is in hundred thousands place, we shift partial result by 5 place(s) by placing 5 zero(s).

Place value	billions	hundred millions	ten millions	millions	hundred thousands	ten thousands	thousands	hundreds	tens	ones

								2	0	0
×				8	3	3	3	3	3	3
								6	0	0
							6	0	0	0
						6	0	0	0	0
					6	0	0	0	0	0
				6	0	0	0	0	0	0
						0	0	0	0	0

Multiply the hundred thousands digit (3) of the multiplicator by the number in the ones place value:
3×0=0

Write 0 in the hundred thousands place.

Place value	billions	hundred millions	ten millions	millions	hundred thousands	ten thousands	thousands	hundreds	tens	ones

								2	0	0
×				8	3	3	3	3	3	3
								6	0	0
							6	0	0	0
						6	0	0	0	0
					6	0	0	0	0	0
				6	0	0	0	0	0	0
					0	0	0	0	0	0

Multiply the hundred thousands digit (3) of the multiplicator by the number in the tens place value:
3×0=0

Write 0 in the millions place.

Place value	billions	hundred millions	ten millions	millions	hundred thousands	ten thousands	thousands	hundreds	tens	ones

								2	0	0
×				8	3	3	3	3	3	3
								6	0	0
							6	0	0	0
						6	0	0	0	0
					6	0	0	0	0	0
				6	0	0	0	0	0	0
				0	0	0	0	0	0	0

Multiply the hundred thousands digit (3) of the multiplicator by the number in the hundreds place value:
3×2=6

Write 6 in the ten millions place.

Place value	billions	hundred millions	ten millions	millions	hundred thousands	ten thousands	thousands	hundreds	tens	ones

								2	0	0
×				8	3	3	3	3	3	3
								6	0	0
							6	0	0	0
						6	0	0	0	0
					6	0	0	0	0	0
				6	0	0	0	0	0	0
			6	0	0	0	0	0	0	0

60,000,000 is the sixth partial product.

Proceed by multiplying the millions digit (8) of the multiplier (8,333,333) by each digit of the multiplicand (200), from right to left.

Because digit (8) is in millions place, we shift partial result by 6 place(s) by placing 6 zero(s).

Place value	billions	hundred millions	ten millions	millions	hundred thousands	ten thousands	thousands	hundreds	tens	ones

								2	0	0
×				8	3	3	3	3	3	3
								6	0	0
							6	0	0	0
						6	0	0	0	0
					6	0	0	0	0	0
				6	0	0	0	0	0	0
			6	0	0	0	0	0	0	0
					0	0	0	0	0	0

Multiply the millions digit (8) of the multiplicator by the number in the ones place value:
8×0=0

Write 0 in the millions place.

Place value	billions	hundred millions	ten millions	millions	hundred thousands	ten thousands	thousands	hundreds	tens	ones

								2	0	0
×				8	3	3	3	3	3	3
								6	0	0
							6	0	0	0
						6	0	0	0	0
					6	0	0	0	0	0
				6	0	0	0	0	0	0
			6	0	0	0	0	0	0	0
				0	0	0	0	0	0	0

Multiply the millions digit (8) of the multiplicator by the number in the tens place value:
8×0=0

Write 0 in the ten millions place.

Place value	billions	hundred millions	ten millions	millions	hundred thousands	ten thousands	thousands	hundreds	tens	ones

								2	0	0
×				8	3	3	3	3	3	3
								6	0	0
							6	0	0	0
						6	0	0	0	0
					6	0	0	0	0	0
				6	0	0	0	0	0	0
			6	0	0	0	0	0	0	0
			0	0	0	0	0	0	0	0

Multiply the millions digit (8) of the multiplicator by the number in the hundreds place value:
8×2=16

Write 6 in the hundred millions place.

Because the result is greater than 9, carry the 1 to the billions place.

Place value	billions	hundred millions	ten millions	millions	hundred thousands	ten thousands	thousands	hundreds	tens	ones
	1
								2	0	0
×				8	3	3	3	3	3	3
								6	0	0
							6	0	0	0
						6	0	0	0	0
					6	0	0	0	0	0
				6	0	0	0	0	0	0
			6	0	0	0	0	0	0	0
	1	6	0	0	0	0	0	0	0	0

1,600,000,000 is the seventh partial product.

3. Add the partial products

600+6000+60000+600000+6000000+60000000+1600000000=1666666600 long addition steps can be seen here

Place value	billions	hundred millions	ten millions	millions	hundred thousands	ten thousands	thousands	hundreds	tens	ones

								2	0	0
×				8	3	3	3	3	3	3
								6	0	0
							6	0	0	0
						6	0	0	0	0
					6	0	0	0	0	0
				6	0	0	0	0	0	0
			6	0	0	0	0	0	0	0
+	1	6	0	0	0	0	0	0	0	0
	1	6	6	6	6	6	6	6	0	0

Because we have 8 digit(s) to the right of the decimal point in the numbers that are being multiplied, we move the decimal point 8 time(s) to the left (reducing the result by the factor of 100,000,000) to get the final result:

The solution is: 16.666666

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Terms and topics

Long multiplication

Solution - Long multiplication

Step-by-step explanation

1. Rewrite the numbers from top to bottom aligned to the right

2. Multiply the numbers using long multiplication method

3. Add the partial products

Why learn this

Terms and topics

Related links

Solution - Long multiplication

Step-by-step explanation

1. Rewrite the numbers from top to bottom aligned to the right

2. Multiply the numbers using long multiplication method

3. Add the partial products

Why learn this

Terms and topics

Related links

Latest Related Drills Solved