Let's divide 742583 by 13
We want to divide 742583 by 13.

Advancing to step 1:
The number 13 fits into 7 0 times, leaving a remainder of 7.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 7 to get 7.
Take the next digit (4) from the dividend and append it to 7, then repeat: 74 / 13

Step 2:
If we divide 74 by 13, we get 5 and a remainder of 9.
Put 5 as the next digit of the answer. 
Result so far: 5.0
Subtract 65 from 74 to get 9.
Append the next digit (2) from the dividend to 9 and continue with: 92 / 13

Going ahead to step 3:
13 goes into 92 7 times with a remainder of 1.
The next digit of our result is 7. 
Result so far: 57.0
If we take 91 away from 92, we end up with 1.
Append the next digit (5) from the dividend to 1 and continue with: 15 / 13

Advancing to step 4:
13 can be fit into 15 1 times, resulting in a remainder of 2.
Write down 1 as next digit of the result. 
Result so far: 571.0
Deduct 13 from 15 and we're left with 2.
Append the next digit (8) from the dividend to 2 and continue with: 28 / 13

Let's proceed to step 5:
When dividing 28 by 13, we get 2 with a remainder of 2.
Put 2 as the next digit of the answer. 
Result so far: 5712.0
Subtracting 26 from 28 leaves us with 2.
Bring next digit (3) of the dividend behind the 2 and repeat the process: 23 / 13

Advancing to step 6:
23 divided by 13 is 1 with a remainder of 10.
The next digit of our result is 1. 
Result so far: 57121.0
Subtracting 13 from 23 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.

On to step 7:
13 goes into 100 7 times with a remainder of 9.
Record the quotient 7 as the next digit in the result. 
Result so far: 57121.7
Subtract 91 from 100 to 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.

Going ahead to step 8:
13 can be fit into 90 6 times, resulting in a remainder of 12.
Record the quotient 6 as the next digit in the result. 
Result so far: 57121.76
Subtract 78 from 90 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Going ahead to step 9:
The number 13 fits into 120 9 times, leaving a remainder of 3.
Use 9 as the next digit of our solution. 
Result so far: 57121.769
Subtract 117 from 120 to 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.

Advancing to step 10:
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: 57121.7692
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.

Moving on to step 11:
The number 13 fits into 40 3 times, leaving a remainder of 1.
The next digit of our result is 3. 
Result so far: 57121.76923
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.

Moving on to step 12:
13 can be fit into 10 0 times, resulting in a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 57121.76923
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.

Step 13:
When dividing 100 by 13, we get 7 with a remainder of 9.
The number 7 becomes the next digit in our result. 
Result so far: 57121.7692307
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.

Let's proceed to step 14:
The number 13 fits into 90 6 times, leaving a remainder of 12.
The next digit of our result is 6. 
Result so far: 57121.76923076
If we take 78 away from 90, we end up 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 final outcome is 57121.76923076, with a leftover of 1.2e-08.