We're dividing 760533 by 13 
We want to figure out the number of times 760533 can be divided by 13.

Step 1:
The number 13 fits into 7 0 times, leaving a remainder of 7.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 7 leaves us with 7.
Append the next digit (6) from the dividend to 7 and continue with: 76 / 13

Moving on to step 2:
If we divide 76 by 13, we get 5 and a remainder of 11.
Put 5 as the next digit of the answer. 
Result so far: 5.0
If we take 65 away from 76, we end up with 11.
Grab the next digit (0) from the dividend, add it to 11, then carry on: 110 / 13

Going ahead to step 3:
The number 13 fits into 110 8 times, leaving a remainder of 6.
Write down 8 as next digit of the result. 
Result so far: 58.0
If we subtract 104 from 110, we get 6.
Fetch the next digit (5) from the dividend, attach it to 6 and continue: 65 / 13

Moving on to step 4:
13 goes into 65 5 times with a remainder of 0.
Write down 5 as next digit of the result. 
Result so far: 585.0
Subtract 65 from 65 to get 0.
Append the next digit (3) from the dividend to 0 and continue with: 3 / 13

Going ahead to step 5:
The number 13 fits into 3 0 times, leaving a remainder of 3.
The next digit of our result is 0. 
Result so far: 5850.0
Deduct 0 from 3 and we're left with 3.
Bring next digit (3) of the dividend behind the 3 and repeat the process: 33 / 13

Moving on to step 6:
The number 13 fits into 33 2 times, leaving a remainder of 7.
Put 2 as the next digit of the answer. 
Result so far: 58502.0
Deduct 26 from 33 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.

Moving on to step 7:
If we divide 70 by 13, we get 5 and a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 58502.5
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.

On to step 8:
13 goes into 50 3 times with a remainder of 11.
Write down 3 as next digit of the result. 
Result so far: 58502.53
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.

Advancing to step 9:
110 divided by 13 is 8 with a remainder of 6.
Put 8 as the next digit of the answer. 
Result so far: 58502.538
If we take 104 away from 110, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 10:
When dividing 60 by 13, we get 4 with a remainder of 8.
Put 4 as the next digit of the answer. 
Result so far: 58502.5384
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.

Advancing to step 11:
When dividing 80 by 13, we get 6 with a remainder of 2.
Put 6 as the next digit of the answer. 
Result so far: 58502.53846
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.

Going ahead to step 12:
13 can be fit into 20 1 times, resulting in a remainder of 7.
The next digit of our result is 1. 
Result so far: 58502.538461
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.

Moving on to step 13:
70 divided by 13 is 5 with a remainder of 5.
The next digit of our result is 5. 
Result so far: 58502.5384615
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.

Advancing to step 14:
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: 58502.53846153
If we take 39 away from 50, we end up 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.

Our division results in 58502.53846153 with a remaining 1.1e-08.