Answer: 29
Explanation:
174 = dividend
6 = divisor
The divisor (6) goes into the first digit of the dividend (1), 0 time(s). Therefore, put 0 on top Multiply the divisor by the result in the previous step (6 x 0 = 0) and write that answer below the dividend. Subtract the result in the previous step from the first digit of the dividend (1 - 0 = 1) and write the answer below.
Move down the 2nd digit of the dividend (7) like this:
0
6 ⟌ 1 7 4
- 0
1 7
Multiply the divisor by the result in the previous step (6 x 2 = 12) and write that answer at the bottom:
0 2
6 ⟌ 1 7 4
- 0
1 7
1 2
Subtract the result in the previous step from the number written above it. (17 - 12 = 5) and write the answer at the bottom.
0 2
6 ⟌ 1 7 4
- 0
1 7
- 1 2
5
Move down the last digit of the dividend (4) like this:
0 2
6 ⟌ 1 7 4
- 0
1 7
- 1 2
5 4
Multiply the divisor by the result in the previous step (6 x 9 = 54) and write the answer at the bottom:
0 2 9
6 ⟌ 1 7 4
- 0
1 7
- 1 2
5 4
5 4
Subtract the result in the previous step from the number written above it. (54 - 54 = 0) and write the answer at the bottom.
0 2 9
6 ⟌ 1 7 4
- 0
1 7
- 1 2
5 4
- 5 4
0
You are done, because there are no more digits to move down from the dividend.
The answer is the top number and the remainder is the bottom number.
Therefore, the answer to 174 divided by 6 calculated using Long Division is:
29
0 Remainder
Its long but your welcome :)