Solution - Long multiplication

Because the hundreds digit of the multiplicator equals 0, skip to the next digit.

Proceed by multiplying the thousands digit (5) of the multiplier (125,000) by each digit of the multiplicand (4,032), from right to left.

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

Multiply the thousands digit (5) of the multiplicator by the number in the ones place value:
5×2=10

Write 0 in the thousands place.

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

Multiply the thousands digit (5) of the multiplicator by the number in the tens place value and add the carried number (1):
5×3+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 thousands digit (5) of the multiplicator by the number in the hundreds place value and add the carried number (1):
5×0+1=1

Write 1 in the hundred thousands place.

Multiply the thousands digit (5) of the multiplicator by the number in the thousands place value:
5×4=20

Write 0 in the millions place.

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

20,160,000 is the first partial product.

Proceed by multiplying the ten thousands digit (2) of the multiplier (125,000) by each digit of the multiplicand (4,032), from right to left.

Because digit (2) is in ten thousands place, we shift partial result by 4 place(s) by placing 4 zero(s).

Multiply the ten thousands digit (2) of the multiplicator by the number in the ones place value:
2×2=4

Write 4 in the ten thousands place.

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

Write 6 in the hundred thousands place.

Multiply the ten thousands digit (2) of the multiplicator by the number in the hundreds place value:
2×0=0

Write 0 in the millions place.

Multiply the ten thousands digit (2) of the multiplicator by the number in the thousands place value:
2×4=8

Write 8 in the ten millions place.

80,640,000 is the second partial product.

Proceed by multiplying the hundred thousands digit (1) of the multiplier (125,000) by each digit of the multiplicand (4,032), from right to left.

Because digit (1) is in hundred thousands place, we shift partial result by 5 place(s) by placing 5 zero(s).

Multiply the hundred thousands digit (1) of the multiplicator by the number in the ones place value:
1×2=2

Write 2 in the hundred thousands place.

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

Write 3 in the millions place.

Multiply the hundred thousands digit (1) of the multiplicator by the number in the hundreds place value:
1×0=0

Write 0 in the ten millions place.

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

Write 4 in the hundred millions place.

403,200,000 is the third partial product.

20160000+80640000+403200000=504000000 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: 504,000