We're dividing 62538 by 13 
We're looking to find how many times 13 goes into 62538.

On to step 1:
If we divide 6 by 13, we get 0 and a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Grab the next digit (2) from the dividend, add it to 6, then carry on: 62 / 13

Advancing to step 2:
When dividing 62 by 13, we get 4 with a remainder of 10.
Put 4 as the next digit of the answer. 
Result so far: 4.0
Deduct 52 from 62 and we're left with 10.
Append the next digit (5) from the dividend to 10 and continue with: 105 / 13

Moving on to step 3:
13 goes into 105 8 times with a remainder of 1.
Record the quotient 8 as the next digit in the result. 
Result so far: 48.0
If we subtract 104 from 105, we get 1.
Take the next digit (3) from the dividend and append it to 1, then repeat: 13 / 13

Advancing to step 4:
The number 13 fits into 13 1 times, leaving a remainder of 0.
Write down 1 as next digit of the result. 
Result so far: 481.0
The remainder is 0 after subtracting 13 from 13.
Include the next digit (8) from the dividend after 0, then repeat: 8 / 13

On to step 5:
The number 13 fits into 8 0 times, leaving a remainder of 8.
Use 0 as the next digit of our solution. 
Result so far: 4810.0
Subtracting 0 from 8 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 6:
The number 13 fits into 80 6 times, leaving a remainder of 2.
Write down 6 as next digit of the result. 
Result so far: 4810.6
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.

Advancing to step 7:
If we divide 20 by 13, we get 1 and a remainder of 7.
Record the quotient 1 as the next digit in the result. 
Result so far: 4810.61
Subtract 13 from 20 to 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.

Step 8:
13 goes into 70 5 times with a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 4810.615
Subtract 65 from 70 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 9:
If we divide 50 by 13, we get 3 and a remainder of 11.
Record the quotient 3 as the next digit in the result. 
Result so far: 4810.6153
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.

Advancing to step 10:
13 goes into 110 8 times with a remainder of 6.
The next digit of our result is 8. 
Result so far: 4810.61538
The remainder is 6 after subtracting 104 from 110.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 11:
The number 13 fits into 60 4 times, leaving a remainder of 8.
Put 4 as the next digit of the answer. 
Result so far: 4810.615384
If we subtract 52 from 60, we 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.

Going ahead to step 12:
13 goes into 80 6 times with a remainder of 2.
Write down 6 as next digit of the result. 
Result so far: 4810.6153846
If we subtract 78 from 80, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 13:
20 divided by 13 is 1 with a remainder of 7.
The number 1 becomes the next digit in our result. 
Result so far: 4810.61538461
Deduct 13 from 20 and we're left 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.

The final result is 4810.61538461 with a remainder of 7e-09.