Solution - Long multiplication

Start by multiplying the ones digit (7) of the multiplier 347 by each digit of the multiplicand 10,556, from right to left.

Multiply the ones digit (7) of the multiplicator by the number in the ones place value:
7×6=42

Write 2 in the ones place.

Because the result is greater than 9, carry the 4 to the tens place.

Multiply the ones digit (7) of the multiplicator by the number in the tens place value and add the carried number (4):
7×5+4=39

Write 9 in the tens place.

Because the result is greater than 9, carry the 3 to the hundreds place.

Multiply the ones digit (7) of the multiplicator by the number in the hundreds place value and add the carried number (3):
7×5+3=38

Write 8 in the hundreds place.

Because the result is greater than 9, carry the 3 to the thousands place.

Multiply the ones digit (7) of the multiplicator by the number in the thousands place value and add the carried number (3):
7×0+3=3

Write 3 in the thousands place.

Multiply the ones digit (7) of the multiplicator by the number in the ten thousands place value:
7×1=7

Write 7 in the ten thousands place.

73,892 is the first partial product.

Proceed by multiplying the tens digit (4) of the multiplier (347) by each digit of the multiplicand (10,556), from right to left.

Because digit (4) is in tens place, we shift partial result by 1 place(s) by placing 1 zero(s).

Multiply the tens digit (4) of the multiplicator by the number in the ones place value:
4×6=24

Write 4 in the tens place.

Because the result is greater than 9, carry the 2 to the hundreds place.

Multiply the tens digit (4) of the multiplicator by the number in the tens place value and add the carried number (2):
4×5+2=22

Write 2 in the hundreds place.

Because the result is greater than 9, carry the 2 to the thousands place.

Multiply the tens digit (4) of the multiplicator by the number in the hundreds place value and add the carried number (2):
4×5+2=22

Write 2 in the thousands place.

Because the result is greater than 9, carry the 2 to the ten thousands place.

Multiply the tens digit (4) of the multiplicator by the number in the thousands place value and add the carried number (2):
4×0+2=2

Write 2 in the ten thousands place.

Multiply the tens digit (4) of the multiplicator by the number in the ten thousands place value:
4×1=4

Write 4 in the hundred thousands place.

422,240 is the second partial product.

Proceed by multiplying the hundreds digit (3) of the multiplier (347) by each digit of the multiplicand (10,556), from right to left.

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

Multiply the hundreds digit (3) of the multiplicator by the number in the ones place value:
3×6=18

Write 8 in the hundreds place.

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

Multiply the hundreds digit (3) of the multiplicator by the number in the tens place value and add the carried number (1):
3×5+1=16

Write 6 in the thousands place.

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

Multiply the hundreds digit (3) of the multiplicator by the number in the hundreds place value and add the carried number (1):
3×5+1=16

Write 6 in the ten thousands place.

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

Multiply the hundreds digit (3) of the multiplicator by the number in the thousands place value and add the carried number (1):
3×0+1=1

Write 1 in the hundred thousands place.

Multiply the hundreds digit (3) of the multiplicator by the number in the ten thousands place value:
3×1=3

Write 3 in the millions place.

3,166,800 is the third partial product.

73892+422240+3166800=3662932 long addition steps can be seen here

Because we have 3 digit(s) to the right of the decimal point in the numbers that are being multiplied, we move the decimal point 3 time(s) to the left (reducing the result by the factor of 1,000) to get the final result:

The solution is: 3662.932