Let's divide 152000 by 13
We want to figure out the number of times 152000 can be divided by 13.

Going ahead to step 1:
1 divided by 13 is 0 with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Include the next digit (5) from the dividend after 1, then repeat: 15 / 13

On to step 2:
13 goes into 15 1 times with a remainder of 2.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we take 13 away from 15, we end up with 2.
Grab the next digit (2) from the dividend, add it to 2, then carry on: 22 / 13

Moving on to step 3:
22 divided by 13 is 1 with a remainder of 9.
The number 1 becomes the next digit in our result. 
Result so far: 11.0
Deduct 13 from 22 and we're left with 9.
Append the next digit (0) from the dividend to 9 and continue with: 90 / 13

Moving on to step 4:
The number 13 fits into 90 6 times, leaving a remainder of 12.
Write down 6 as next digit of the result. 
Result so far: 116.0
If we subtract 78 from 90, we get 12.
Include the next digit (0) from the dividend after 12, then repeat: 120 / 13

On to step 5:
120 divided by 13 is 9 with a remainder of 3.
The next digit of our result is 9. 
Result so far: 1169.0
If we take 117 away from 120, we end up with 3.
Append the next digit (0) from the dividend to 3 and continue with: 30 / 13

Moving on to step 6:
The number 13 fits into 30 2 times, leaving a remainder of 4.
The number 2 becomes the next digit in our result. 
Result so far: 11692.0
If we subtract 26 from 30, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 7:
13 goes into 40 3 times with a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 11692.3
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.

On to step 8:
If we divide 10 by 13, we get 0 and a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 11692.3
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.

Let's proceed to step 9:
If we divide 100 by 13, we get 7 and a remainder of 9.
Record the quotient 7 as the next digit in the result. 
Result so far: 11692.307
If we subtract 91 from 100, we get 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 10:
If we divide 90 by 13, we get 6 and a remainder of 12.
Use 6 as the next digit of our solution. 
Result so far: 11692.3076
The remainder is 12 after subtracting 78 from 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Step 11:
If we divide 120 by 13, we get 9 and a remainder of 3.
Put 9 as the next digit of the answer. 
Result so far: 11692.30769
If we subtract 117 from 120, we 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.

On to step 12:
When dividing 30 by 13, we get 2 with a remainder of 4.
Put 2 as the next digit of the answer. 
Result so far: 11692.307692
Subtract 26 from 30 to get 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 13:
The number 13 fits into 40 3 times, leaving a remainder of 1.
Put 3 as the next digit of the answer. 
Result so far: 11692.3076923
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.

Let's proceed to step 14:
13 goes into 10 0 times with a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 11692.3076923
Subtracting 0 from 10 leaves us 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.

Our division results in 11692.3076923 with a remaining 1e-08.