We look at the division of 59791 by 13 
Our goal is to divide 59791 by 13.

Going ahead to step 1:
The number 13 fits into 5 0 times, leaving a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Grab the next digit (9) from the dividend, add it to 5, then carry on: 59 / 13

Step 2:
59 divided by 13 is 4 with a remainder of 7.
The number 4 becomes the next digit in our result. 
Result so far: 4.0
Subtracting 52 from 59 leaves us with 7.
Fetch the next digit (7) from the dividend, attach it to 7 and continue: 77 / 13

Step 3:
The number 13 fits into 77 5 times, leaving a remainder of 12.
The next digit of our result is 5. 
Result so far: 45.0
Deduct 65 from 77 and we're left with 12.
Append the next digit (9) from the dividend to 12 and continue with: 129 / 13

Advancing to step 4:
The number 13 fits into 129 9 times, leaving a remainder of 12.
Put 9 as the next digit of the answer. 
Result so far: 459.0
The remainder is 12 after subtracting 117 from 129.
Include the next digit (1) from the dividend after 12, then repeat: 121 / 13

On to step 5:
121 divided by 13 is 9 with a remainder of 4.
The number 9 becomes the next digit in our result. 
Result so far: 4599.0
Deduct 117 from 121 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 6:
13 goes into 40 3 times with a remainder of 1.
Write down 3 as next digit of the result. 
Result so far: 4599.3
If we take 39 away from 40, 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.

Advancing to step 7:
When dividing 10 by 13, we get 0 with a remainder of 10.
The next digit of our result is 0. 
Result so far: 4599.3
The remainder is 10 after subtracting 0 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 8:
100 divided by 13 is 7 with a remainder of 9.
Put 7 as the next digit of the answer. 
Result so far: 4599.307
If we take 91 away from 100, we end up with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Moving on to step 9:
90 divided by 13 is 6 with a remainder of 12.
Write down 6 as next digit of the result. 
Result so far: 4599.3076
Subtracting 78 from 90 leaves us with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Let's proceed to step 10:
When dividing 120 by 13, we get 9 with a remainder of 3.
Use 9 as the next digit of our solution. 
Result so far: 4599.30769
Subtract 117 from 120 to get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Step 11:
13 goes into 30 2 times with a remainder of 4.
The next digit of our result is 2. 
Result so far: 4599.307692
Subtracting 26 from 30 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 12:
40 divided by 13 is 3 with a remainder of 1.
Write down 3 as next digit of the result. 
Result so far: 4599.3076923
Subtract 39 from 40 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Advancing to step 13:
10 divided by 13 is 0 with a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 4599.3076923
Deduct 0 from 10 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

The quotient of the division is 4599.3076923, and the remainder is 1e-08.