We look at the division of 125677 by 79 
Our goal is to divide 125677 by 79.

Going ahead to step 1:
If we divide 1 by 79, we get 0 and a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Grab the next digit (2) from the dividend, add it to 1, then carry on: 12 / 79

On to step 2:
79 can be fit into 12 0 times, resulting in a remainder of 12.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 12, we get 12.
Append the next digit (5) from the dividend to 12 and continue with: 125 / 79

Step 3:
The number 79 fits into 125 1 times, leaving a remainder of 46.
Write down 1 as next digit of the result. 
Result so far: 1.0
Deduct 79 from 125 and we're left with 46.
Grab the next digit (6) from the dividend, add it to 46, then carry on: 466 / 79

Step 4:
If we divide 466 by 79, we get 5 and a remainder of 71.
Put 5 as the next digit of the answer. 
Result so far: 15.0
Subtract 395 from 466 to get 71.
Take the next digit (7) from the dividend and append it to 71, then repeat: 717 / 79

On to step 5:
79 goes into 717 9 times with a remainder of 6.
Put 9 as the next digit of the answer. 
Result so far: 159.0
Subtract 711 from 717 to get 6.
Grab the next digit (7) from the dividend, add it to 6, then carry on: 67 / 79

Moving on to step 6:
The number 79 fits into 67 0 times, leaving a remainder of 67.
Write down 0 as next digit of the result. 
Result so far: 1590.0
If we subtract 0 from 67, we get 67.
Since there are no more digits in the dividend, we add a zero to the remainder making it 670, and continue the process.

Moving on to step 7:
The number 79 fits into 670 8 times, leaving a remainder of 38.
Record the quotient 8 as the next digit in the result. 
Result so far: 1590.8
Subtracting 632 from 670 leaves us with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Going ahead to step 8:
380 divided by 79 is 4 with a remainder of 64.
Use 4 as the next digit of our solution. 
Result so far: 1590.84
Subtract 316 from 380 to get 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

On to step 9:
The number 79 fits into 640 8 times, leaving a remainder of 8.
Use 8 as the next digit of our solution. 
Result so far: 1590.848
Subtracting 632 from 640 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 10:
The number 79 fits into 80 1 times, leaving a remainder of 1.
Write down 1 as next digit of the result. 
Result so far: 1590.8481
If we take 79 away from 80, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 11:
79 can be fit into 10 0 times, resulting in a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 1590.8481
Subtract 0 from 10 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 12:
When dividing 100 by 79, we get 1 with a remainder of 21.
The number 1 becomes the next digit in our result. 
Result so far: 1590.848101
The remainder is 21 after subtracting 79 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Moving on to step 13:
The number 79 fits into 210 2 times, leaving a remainder of 52.
Put 2 as the next digit of the answer. 
Result so far: 1590.8481012
The remainder is 52 after subtracting 158 from 210.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Moving on to step 14:
79 can be fit into 520 6 times, resulting in a remainder of 46.
Use 6 as the next digit of our solution. 
Result so far: 1590.84810126
If we subtract 474 from 520, we get 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

The final result is 1590.84810126 with a remainder of 4.6e-08.