Let's divide 751982 by 13
Our goal is to divide 751982 by 13.

Advancing to step 1:
13 can be fit into 7 0 times, resulting in a remainder of 7.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 7 to get 7.
Fetch the next digit (5) from the dividend, attach it to 7 and continue: 75 / 13

Let's proceed to step 2:
When dividing 75 by 13, we get 5 with a remainder of 10.
Use 5 as the next digit of our solution. 
Result so far: 5.0
Subtracting 65 from 75 leaves us with 10.
Bring next digit (1) of the dividend behind the 10 and repeat the process: 101 / 13

Going ahead to step 3:
If we divide 101 by 13, we get 7 and a remainder of 10.
The next digit of our result is 7. 
Result so far: 57.0
If we subtract 91 from 101, we get 10.
Grab the next digit (9) from the dividend, add it to 10, then carry on: 109 / 13

Let's proceed to step 4:
109 divided by 13 is 8 with a remainder of 5.
Record the quotient 8 as the next digit in the result. 
Result so far: 578.0
Subtracting 104 from 109 leaves us with 5.
Bring next digit (8) of the dividend behind the 5 and repeat the process: 58 / 13

Step 5:
When dividing 58 by 13, we get 4 with a remainder of 6.
Record the quotient 4 as the next digit in the result. 
Result so far: 5784.0
If we subtract 52 from 58, we get 6.
Bring next digit (2) of the dividend behind the 6 and repeat the process: 62 / 13

Let's proceed to step 6:
62 divided by 13 is 4 with a remainder of 10.
The next digit of our result is 4. 
Result so far: 57844.0
If we take 52 away from 62, we end up 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.

Step 7:
The number 13 fits into 100 7 times, leaving a remainder of 9.
Write down 7 as next digit of the result. 
Result so far: 57844.7
Subtracting 91 from 100 leaves us with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Step 8:
90 divided by 13 is 6 with a remainder of 12.
The next digit of our result is 6. 
Result so far: 57844.76
Deduct 78 from 90 and we're left with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

On to step 9:
13 can be fit into 120 9 times, resulting in a remainder of 3.
The number 9 becomes the next digit in our result. 
Result so far: 57844.769
If we take 117 away from 120, we end up with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Step 10:
13 can be fit into 30 2 times, resulting in a remainder of 4.
Put 2 as the next digit of the answer. 
Result so far: 57844.7692
Deduct 26 from 30 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 11:
If we divide 40 by 13, we get 3 and a remainder of 1.
The number 3 becomes the next digit in our result. 
Result so far: 57844.76923
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.

Going ahead to step 12:
If we divide 10 by 13, we get 0 and a remainder of 10.
The next digit of our result is 0. 
Result so far: 57844.76923
If we subtract 0 from 10, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 13:
The number 13 fits into 100 7 times, leaving a remainder of 9.
Use 7 as the next digit of our solution. 
Result so far: 57844.7692307
If we take 91 away from 100, we end up with 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 14:
90 divided by 13 is 6 with a remainder of 12.
The next digit of our result is 6. 
Result so far: 57844.76923076
Deduct 78 from 90 and we're left with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

The quotient of the division is 57844.76923076, and the remainder is 1.2e-08.