We look at the division of 762523 by 13 
Let's see how many times 13 fits into 762523.

On to step 1:
The number 13 fits into 7 0 times, leaving a remainder of 7.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 7 after subtracting 0 from 7.
Include the next digit (6) from the dividend after 7, then repeat: 76 / 13

Going ahead to step 2:
The number 13 fits into 76 5 times, leaving a remainder of 11.
Use 5 as the next digit of our solution. 
Result so far: 5.0
If we take 65 away from 76, we end up with 11.
Include the next digit (2) from the dividend after 11, then repeat: 112 / 13

Step 3:
13 can be fit into 112 8 times, resulting in a remainder of 8.
The next digit of our result is 8. 
Result so far: 58.0
If we subtract 104 from 112, we get 8.
Include the next digit (5) from the dividend after 8, then repeat: 85 / 13

Let's proceed to step 4:
13 goes into 85 6 times with a remainder of 7.
Put 6 as the next digit of the answer. 
Result so far: 586.0
Subtract 78 from 85 to get 7.
Grab the next digit (2) from the dividend, add it to 7, then carry on: 72 / 13

Moving on to step 5:
72 divided by 13 is 5 with a remainder of 7.
Put 5 as the next digit of the answer. 
Result so far: 5865.0
The remainder is 7 after subtracting 65 from 72.
Grab the next digit (3) from the dividend, add it to 7, then carry on: 73 / 13

Moving on to step 6:
If we divide 73 by 13, we get 5 and a remainder of 8.
Write down 5 as next digit of the result. 
Result so far: 58655.0
If we subtract 65 from 73, 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.

Let's proceed to step 7:
When dividing 80 by 13, we get 6 with a remainder of 2.
The next digit of our result is 6. 
Result so far: 58655.6
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.

Step 8:
13 can be fit into 20 1 times, resulting in a remainder of 7.
Record the quotient 1 as the next digit in the result. 
Result so far: 58655.61
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.

Let's proceed to step 9:
70 divided by 13 is 5 with a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 58655.615
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.

Going ahead to step 10:
The number 13 fits into 50 3 times, leaving a remainder of 11.
Write down 3 as next digit of the result. 
Result so far: 58655.6153
Deduct 39 from 50 and we're left 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 11:
When dividing 110 by 13, we get 8 with a remainder of 6.
Use 8 as the next digit of our solution. 
Result so far: 58655.61538
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.

Going ahead to step 12:
The number 13 fits into 60 4 times, leaving a remainder of 8.
The next digit of our result is 4. 
Result so far: 58655.615384
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.

Advancing to step 13:
If we divide 80 by 13, we get 6 and a remainder of 2.
Record the quotient 6 as the next digit in the result. 
Result so far: 58655.6153846
Subtracting 78 from 80 leaves us 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.

Going ahead to step 14:
13 can be fit into 20 1 times, resulting in a remainder of 7.
Put 1 as the next digit of the answer. 
Result so far: 58655.61538461
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.

The quotient of the division is 58655.61538461, and the remainder is 7e-09.