Megoldás - Long multiplication

Start by multiplying the egyesek digit (7) of the multiplier 5 647 by each digit of the multiplicand 10 234, from right to left.

Multiply the egyesek digit (7) of the multiplicator by the number in the egyesek place value:
7×4=28

Write 8 in the egyesek place.

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

Multiply the egyesek digit (7) of the multiplicator by the number in the tízesek place value and add the carried number (2):
7×3+2=23

Write 3 in the tízesek place.

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

Multiply the egyesek digit (7) of the multiplicator by the number in the százasok place value and add the carried number (2):
7×2+2=16

Write 6 in the százasok place.

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

Multiply the egyesek digit (7) of the multiplicator by the number in the ezresek place value and add the carried number (1):
7×0+1=1

Write 1 in the ezresek place.

Multiply the egyesek digit (7) of the multiplicator by the number in the tízezresek place value:
7×1=7

Write 7 in the tízezresek place.

71 638 is the first partial product.

Proceed by multiplying the tízesek digit (4) of the multiplier (5 647) by each digit of the multiplicand (10 234), from right to left.

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

Multiply the tízesek digit (4) of the multiplicator by the number in the egyesek place value:
4×4=16

Write 6 in the tízesek place.

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

Multiply the tízesek digit (4) of the multiplicator by the number in the tízesek place value and add the carried number (1):
4×3+1=13

Write 3 in the százasok place.

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

Multiply the tízesek digit (4) of the multiplicator by the number in the százasok place value and add the carried number (1):
4×2+1=9

Write 9 in the ezresek place.

Multiply the tízesek digit (4) of the multiplicator by the number in the ezresek place value:
4×0=0

Write 0 in the tízezresek place.

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

Write 4 in the százezresek place.

409 360 is the second partial product.

Proceed by multiplying the százasok digit (6) of the multiplier (5 647) by each digit of the multiplicand (10 234), from right to left.

Because digit (6) is in százasok place, we shift partial result by 2 place(s) by placing 2 zero(s).

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

Write 4 in the százasok place.

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

Multiply the százasok digit (6) of the multiplicator by the number in the tízesek place value and add the carried number (2):
6×3+2=20

Write 0 in the ezresek place.

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

Multiply the százasok digit (6) of the multiplicator by the number in the százasok place value and add the carried number (2):
6×2+2=14

Write 4 in the tízezresek place.

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

Multiply the százasok digit (6) of the multiplicator by the number in the ezresek place value and add the carried number (1):
6×0+1=1

Write 1 in the százezresek place.

Multiply the százasok digit (6) of the multiplicator by the number in the tízezresek place value:
6×1=6

Write 6 in the milliók place.

6 140 400 is the third partial product.

Proceed by multiplying the ezresek digit (5) of the multiplier (5 647) by each digit of the multiplicand (10 234), from right to left.

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

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

Write 0 in the ezresek place.

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

Multiply the ezresek digit (5) of the multiplicator by the number in the tízesek place value and add the carried number (2):
5×3+2=17

Write 7 in the tízezresek place.

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

Multiply the ezresek digit (5) of the multiplicator by the number in the százasok place value and add the carried number (1):
5×2+1=11

Write 1 in the százezresek place.

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

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

Write 1 in the milliók place.

Multiply the ezresek digit (5) of the multiplicator by the number in the tízezresek place value:
5×1=5

Write 5 in the tízmilliók place.

51 170 000 is the fourth partial product.

71638+409360+6140400+51170000=57791398 long addition steps can be seen here

The solution is: 57 791 398