We divide 152926 by 13
We want to figure out the number of times 152926 can be divided by 13.

Going ahead to step 1:
When dividing 1 by 13, we get 0 with a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Include the next digit (5) from the dividend after 1, then repeat: 15 / 13

Going ahead to step 2:
13 goes into 15 1 times with a remainder of 2.
The next digit of our result is 1. 
Result so far: 1.0
Deduct 13 from 15 and we're left with 2.
Take the next digit (2) from the dividend and append it to 2, then repeat: 22 / 13

Going ahead to step 3:
When dividing 22 by 13, we get 1 with a remainder of 9.
The next digit of our result is 1. 
Result so far: 11.0
Subtracting 13 from 22 leaves us with 9.
Include the next digit (9) from the dividend after 9, then repeat: 99 / 13

On to step 4:
13 can be fit into 99 7 times, resulting in a remainder of 8.
Write down 7 as next digit of the result. 
Result so far: 117.0
If we take 91 away from 99, we end up with 8.
Append the next digit (2) from the dividend to 8 and continue with: 82 / 13

On to step 5:
13 goes into 82 6 times with a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 1176.0
Deduct 78 from 82 and we're left with 4.
Include the next digit (6) from the dividend after 4, then repeat: 46 / 13

Going ahead to step 6:
If we divide 46 by 13, we get 3 and a remainder of 7.
The number 3 becomes the next digit in our result. 
Result so far: 11763.0
If we subtract 39 from 46, we get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

On to step 7:
13 goes into 70 5 times with a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 11763.5
The remainder is 5 after subtracting 65 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing to step 8:
50 divided by 13 is 3 with a remainder of 11.
The next digit of our result is 3. 
Result so far: 11763.53
Subtracting 39 from 50 leaves us with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Going ahead to step 9:
110 divided by 13 is 8 with a remainder of 6.
The next digit of our result is 8. 
Result so far: 11763.538
If we subtract 104 from 110, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 10:
If we divide 60 by 13, we get 4 and a remainder of 8.
Write down 4 as next digit of the result. 
Result so far: 11763.5384
Subtract 52 from 60 to get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 11:
The number 13 fits into 80 6 times, leaving a remainder of 2.
Record the quotient 6 as the next digit in the result. 
Result so far: 11763.53846
Deduct 78 from 80 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 12:
20 divided by 13 is 1 with a remainder of 7.
Put 1 as the next digit of the answer. 
Result so far: 11763.538461
If we take 13 away from 20, we end up with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

On to step 13:
70 divided by 13 is 5 with a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 11763.5384615
The remainder is 5 after subtracting 65 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 14:
If we divide 50 by 13, we get 3 and a remainder of 11.
Write down 3 as next digit of the result. 
Result so far: 11763.53846153
Subtracting 39 from 50 leaves us with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

The quotient of the division is 11763.53846153, and the remainder is 1.1e-08.