13966 ÷ 79 
Our goal is to divide 13966 by 79.

On to step 1:
79 goes into 1 0 times with 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.
Include the next digit (3) from the dividend after 1, then repeat: 13 / 79

Let's proceed to step 2:
13 divided by 79 is 0 with a remainder of 13.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 13, we get 13.
Take the next digit (9) from the dividend and append it to 13, then repeat: 139 / 79

Going ahead to step 3:
If we divide 139 by 79, we get 1 and a remainder of 60.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Subtract 79 from 139 to get 60.
Append the next digit (6) from the dividend to 60 and continue with: 606 / 79

On to step 4:
The number 79 fits into 606 7 times, leaving a remainder of 53.
Put 7 as the next digit of the answer. 
Result so far: 17.0
Subtracting 553 from 606 leaves us with 53.
Fetch the next digit (6) from the dividend, attach it to 53 and continue: 536 / 79

Let's proceed to step 5:
When dividing 536 by 79, we get 6 with a remainder of 62.
The next digit of our result is 6. 
Result so far: 176.0
The remainder is 62 after subtracting 474 from 536.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

Moving on to step 6:
79 goes into 620 7 times with a remainder of 67.
The number 7 becomes the next digit in our result. 
Result so far: 176.7
Deduct 553 from 620 and we're left with 67.
Since there are no more digits in the dividend, we add a zero to the remainder making it 670, and continue the process.

Let's proceed to step 7:
If we divide 670 by 79, we get 8 and a remainder of 38.
Write down 8 as next digit of the result. 
Result so far: 176.78
If we take 632 away from 670, we end up 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.

On 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: 176.784
Deduct 316 from 380 and we're left with 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Advancing to step 9:
The number 79 fits into 640 8 times, leaving a remainder of 8.
The number 8 becomes the next digit in our result. 
Result so far: 176.7848
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.

Advancing to step 10:
79 can be fit into 80 1 times, resulting in a remainder of 1.
Record the quotient 1 as the next digit in the result. 
Result so far: 176.78481
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.

Moving on to step 11:
79 can be fit into 10 0 times, resulting in a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 176.78481
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:
If we divide 100 by 79, we get 1 and a remainder of 21.
Write down 1 as next digit of the result. 
Result so far: 176.7848101
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.

Let's proceed to step 13:
79 goes into 210 2 times with a remainder of 52.
Write down 2 as next digit of the result. 
Result so far: 176.78481012
If we subtract 158 from 210, we get 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

After the division, we end up with 176.78481012 and a remainder of 5.2e-08.