We divide 13574 by 79
Our goal is to divide 13574 by 79.

Going ahead to step 1:
79 goes into 1 0 times with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Bring next digit (3) of the dividend behind the 1 and repeat the process: 13 / 79

Going ahead to step 2:
79 can be fit into 13 0 times, resulting in a remainder of 13.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 13 to get 13.
Append the next digit (5) from the dividend to 13 and continue with: 135 / 79

Step 3:
79 can be fit into 135 1 times, resulting in a remainder of 56.
The next digit of our result is 1. 
Result so far: 1.0
The remainder is 56 after subtracting 79 from 135.
Bring next digit (7) of the dividend behind the 56 and repeat the process: 567 / 79

Step 4:
79 goes into 567 7 times with a remainder of 14.
The number 7 becomes the next digit in our result. 
Result so far: 17.0
Deduct 553 from 567 and we're left with 14.
Grab the next digit (4) from the dividend, add it to 14, then carry on: 144 / 79

Let's proceed to step 5:
144 divided by 79 is 1 with a remainder of 65.
Put 1 as the next digit of the answer. 
Result so far: 171.0
If we take 79 away from 144, we end up with 65.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

Moving on to step 6:
When dividing 650 by 79, we get 8 with a remainder of 18.
The next digit of our result is 8. 
Result so far: 171.8
Deduct 632 from 650 and we're left with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Step 7:
If we divide 180 by 79, we get 2 and a remainder of 22.
The number 2 becomes the next digit in our result. 
Result so far: 171.82
If we take 158 away from 180, we end up with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Let's proceed to step 8:
79 can be fit into 220 2 times, resulting in a remainder of 62.
The next digit of our result is 2. 
Result so far: 171.822
Subtracting 158 from 220 leaves us with 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

In conclusion, the division gives 171.822 with a balance of 0.0062.