13817 ÷ 79 
We want to figure out the number of times 13817 can be divided by 79.

Advancing to step 1:
79 goes into 1 0 times with 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.
Fetch the next digit (3) from the dividend, attach it to 1 and continue: 13 / 79

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
The remainder is 13 after subtracting 0 from 13.
Grab the next digit (8) from the dividend, add it to 13, then carry on: 138 / 79

On to step 3:
138 divided by 79 is 1 with a remainder of 59.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtracting 79 from 138 leaves us with 59.
Grab the next digit (1) from the dividend, add it to 59, then carry on: 591 / 79

Advancing to step 4:
79 goes into 591 7 times with a remainder of 38.
The number 7 becomes the next digit in our result. 
Result so far: 17.0
If we take 553 away from 591, we end up with 38.
Grab the next digit (7) from the dividend, add it to 38, then carry on: 387 / 79

Advancing to step 5:
If we divide 387 by 79, we get 4 and a remainder of 71.
Record the quotient 4 as the next digit in the result. 
Result so far: 174.0
If we take 316 away from 387, we end up with 71.
Since there are no more digits in the dividend, we add a zero to the remainder making it 710, and continue the process.

Going ahead to step 6:
710 divided by 79 is 8 with a remainder of 78.
Write down 8 as next digit of the result. 
Result so far: 174.8
If we take 632 away from 710, we end up with 78.
Since there are no more digits in the dividend, we add a zero to the remainder making it 780, and continue the process.

On to step 7:
The number 79 fits into 780 9 times, leaving a remainder of 69.
Use 9 as the next digit of our solution. 
Result so far: 174.89
If we take 711 away from 780, we end up with 69.
Since there are no more digits in the dividend, we add a zero to the remainder making it 690, and continue the process.

Let's proceed to step 8:
If we divide 690 by 79, we get 8 and a remainder of 58.
Put 8 as the next digit of the answer. 
Result so far: 174.898
Deduct 632 from 690 and we're left with 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Advancing to step 9:
79 can be fit into 580 7 times, resulting in a remainder of 27.
Record the quotient 7 as the next digit in the result. 
Result so far: 174.8987
If we take 553 away from 580, we end up with 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Step 10:
If we divide 270 by 79, we get 3 and a remainder of 33.
Write down 3 as next digit of the result. 
Result so far: 174.89873
The remainder is 33 after subtracting 237 from 270.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Step 11:
When dividing 330 by 79, we get 4 with a remainder of 14.
The next digit of our result is 4. 
Result so far: 174.898734
If we subtract 316 from 330, we get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Step 12:
79 goes into 140 1 times with a remainder of 61.
Use 1 as the next digit of our solution. 
Result so far: 174.8987341
The remainder is 61 after subtracting 79 from 140.
Since there are no more digits in the dividend, we add a zero to the remainder making it 610, and continue the process.

Going ahead to step 13:
610 divided by 79 is 7 with a remainder of 57.
Use 7 as the next digit of our solution. 
Result so far: 174.89873417
Deduct 553 from 610 and we're left with 57.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

In conclusion, the division gives 174.89873417 with a balance of 5.7e-08.