We look at the division of 107666 by 79 
Our goal is to divide 107666 by 79.

Advancing to step 1:
79 can be fit into 1 0 times, resulting in a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Fetch the next digit (0) from the dividend, attach it to 1 and continue: 10 / 79

On to step 2:
79 goes into 10 0 times with a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 10 and we're left with 10.
Fetch the next digit (7) from the dividend, attach it to 10 and continue: 107 / 79

On to step 3:
79 goes into 107 1 times with a remainder of 28.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtracting 79 from 107 leaves us with 28.
Grab the next digit (6) from the dividend, add it to 28, then carry on: 286 / 79

Let's proceed to step 4:
The number 79 fits into 286 3 times, leaving a remainder of 49.
Put 3 as the next digit of the answer. 
Result so far: 13.0
Subtracting 237 from 286 leaves us with 49.
Take the next digit (6) from the dividend and append it to 49, then repeat: 496 / 79

On to step 5:
The number 79 fits into 496 6 times, leaving a remainder of 22.
Record the quotient 6 as the next digit in the result. 
Result so far: 136.0
The remainder is 22 after subtracting 474 from 496.
Take the next digit (6) from the dividend and append it to 22, then repeat: 226 / 79

On to step 6:
79 can be fit into 226 2 times, resulting in a remainder of 68.
Write down 2 as next digit of the result. 
Result so far: 1362.0
Deduct 158 from 226 and we're left with 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Advancing to step 7:
680 divided by 79 is 8 with a remainder of 48.
Record the quotient 8 as the next digit in the result. 
Result so far: 1362.8
Subtracting 632 from 680 leaves us with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Moving on to step 8:
The number 79 fits into 480 6 times, leaving a remainder of 6.
Put 6 as the next digit of the answer. 
Result so far: 1362.86
Subtract 474 from 480 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 9:
If we divide 60 by 79, we get 0 and a remainder of 60.
Record the quotient 0 as the next digit in the result. 
Result so far: 1362.86
The remainder is 60 after subtracting 0 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

On to step 10:
If we divide 600 by 79, we get 7 and a remainder of 47.
Use 7 as the next digit of our solution. 
Result so far: 1362.8607
The remainder is 47 after subtracting 553 from 600.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

On to step 11:
79 can be fit into 470 5 times, resulting in a remainder of 75.
Record the quotient 5 as the next digit in the result. 
Result so far: 1362.86075
Subtract 395 from 470 to get 75.
Since there are no more digits in the dividend, we add a zero to the remainder making it 750, and continue the process.

Going ahead to step 12:
If we divide 750 by 79, we get 9 and a remainder of 39.
Record the quotient 9 as the next digit in the result. 
Result so far: 1362.860759
If we subtract 711 from 750, we get 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Advancing to step 13:
The number 79 fits into 390 4 times, leaving a remainder of 74.
Write down 4 as next digit of the result. 
Result so far: 1362.8607594
Deduct 316 from 390 and we're left with 74.
Since there are no more digits in the dividend, we add a zero to the remainder making it 740, and continue the process.

On to step 14:
If we divide 740 by 79, we get 9 and a remainder of 29.
Write down 9 as next digit of the result. 
Result so far: 1362.86075949
The remainder is 29 after subtracting 711 from 740.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

The quotient of the division is 1362.86075949, and the remainder is 2.9e-08.