We divide 8735 by 79
We want to figure out the number of times 8735 can be divided by 79.

Moving on to step 1:
The number 79 fits into 8 0 times, leaving a remainder of 8.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 8 and we're left with 8.
Bring next digit (7) of the dividend behind the 8 and repeat the process: 87 / 79

Going ahead to step 2:
79 can be fit into 87 1 times, resulting in a remainder of 8.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtract 79 from 87 to get 8.
Bring next digit (3) of the dividend behind the 8 and repeat the process: 83 / 79

On to step 3:
79 can be fit into 83 1 times, resulting in a remainder of 4.
Put 1 as the next digit of the answer. 
Result so far: 11.0
If we subtract 79 from 83, we get 4.
Append the next digit (5) from the dividend to 4 and continue with: 45 / 79

Step 4:
When dividing 45 by 79, we get 0 with a remainder of 45.
The next digit of our result is 0. 
Result so far: 110.0
If we subtract 0 from 45, we get 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Step 5:
When dividing 450 by 79, we get 5 with a remainder of 55.
Record the quotient 5 as the next digit in the result. 
Result so far: 110.5
The remainder is 55 after subtracting 395 from 450.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Going ahead to step 6:
550 divided by 79 is 6 with a remainder of 76.
Use 6 as the next digit of our solution. 
Result so far: 110.56
If we take 474 away from 550, we end up with 76.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

Advancing to step 7:
If we divide 760 by 79, we get 9 and a remainder of 49.
Record the quotient 9 as the next digit in the result. 
Result so far: 110.569
Deduct 711 from 760 and we're left with 49.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

Moving on to step 8:
If we divide 490 by 79, we get 6 and a remainder of 16.
Use 6 as the next digit of our solution. 
Result so far: 110.5696
Subtract 474 from 490 to get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

On to step 9:
If we divide 160 by 79, we get 2 and a remainder of 2.
The number 2 becomes the next digit in our result. 
Result so far: 110.56962
The remainder is 2 after subtracting 158 from 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 10:
When dividing 20 by 79, we get 0 with a remainder of 20.
The next digit of our result is 0. 
Result so far: 110.56962
Subtracting 0 from 20 leaves us with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 11:
200 divided by 79 is 2 with a remainder of 42.
The number 2 becomes the next digit in our result. 
Result so far: 110.5696202
Subtracting 158 from 200 leaves us with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Let's proceed to step 12:
420 divided by 79 is 5 with a remainder of 25.
The number 5 becomes the next digit in our result. 
Result so far: 110.56962025
If we take 395 away from 420, we end up with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

In conclusion, the division gives 110.56962025 with a balance of 2.5e-08.