Let's divide 79142628 by 971
Our goal is to divide 79142628 by 971.

On to step 1:
When dividing 7 by 971, we get 0 with a remainder of 7.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 7 after subtracting 0 from 7.
Fetch the next digit (9) from the dividend, attach it to 7 and continue: 79 / 971

Advancing to step 2:
The number 971 fits into 79 0 times, leaving a remainder of 79.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 79 after subtracting 0 from 79.
Append the next digit (1) from the dividend to 79 and continue with: 791 / 971

Let's proceed to step 3:
971 goes into 791 0 times with a remainder of 791.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 791 leaves us with 791.
Grab the next digit (4) from the dividend, add it to 791, then carry on: 7914 / 971

Moving on to step 4:
When dividing 7914 by 971, we get 8 with a remainder of 146.
The next digit of our result is 8. 
Result so far: 8.0
Deduct 7768 from 7914 and we're left with 146.
Fetch the next digit (2) from the dividend, attach it to 146 and continue: 1462 / 971

Going ahead to step 5:
The number 971 fits into 1462 1 times, leaving a remainder of 491.
Put 1 as the next digit of the answer. 
Result so far: 81.0
Subtract 971 from 1462 to get 491.
Take the next digit (6) from the dividend and append it to 491, then repeat: 4916 / 971

Step 6:
971 goes into 4916 5 times with a remainder of 61.
The number 5 becomes the next digit in our result. 
Result so far: 815.0
The remainder is 61 after subtracting 4855 from 4916.
Append the next digit (2) from the dividend to 61 and continue with: 612 / 971

Step 7:
971 goes into 612 0 times with a remainder of 612.
Write down 0 as next digit of the result. 
Result so far: 8150.0
Subtract 0 from 612 to get 612.
Append the next digit (8) from the dividend to 612 and continue with: 6128 / 971

Let's proceed to step 8:
971 can be fit into 6128 6 times, resulting in a remainder of 302.
The next digit of our result is 6. 
Result so far: 81506.0
If we subtract 5826 from 6128, we get 302.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3020, and continue the process.

On to step 9:
971 can be fit into 3020 3 times, resulting in a remainder of 107.
Record the quotient 3 as the next digit in the result. 
Result so far: 81506.3
The remainder is 107 after subtracting 2913 from 3020.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1070, and continue the process.

Let's proceed to step 10:
971 goes into 1070 1 times with a remainder of 99.
Write down 1 as next digit of the result. 
Result so far: 81506.31
Deduct 971 from 1070 and we're left with 99.
Since there are no more digits in the dividend, we add a zero to the remainder making it 990, and continue the process.

Advancing to step 11:
971 goes into 990 1 times with a remainder of 19.
The next digit of our result is 1. 
Result so far: 81506.311
Deduct 971 from 990 and we're left with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

The final result is 81506.311 with a remainder of 0.0019.