We look at the division of 478783 by 13 
We want to figure out the number of times 478783 can be divided by 13.

Step 1:
13 goes into 4 0 times with a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Append the next digit (7) from the dividend to 4 and continue with: 47 / 13

Step 2:
When dividing 47 by 13, we get 3 with a remainder of 8.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
Subtracting 39 from 47 leaves us with 8.
Append the next digit (8) from the dividend to 8 and continue with: 88 / 13

Step 3:
13 goes into 88 6 times with a remainder of 10.
Write down 6 as next digit of the result. 
Result so far: 36.0
Subtract 78 from 88 to get 10.
Take the next digit (7) from the dividend and append it to 10, then repeat: 107 / 13

Going ahead to step 4:
The number 13 fits into 107 8 times, leaving a remainder of 3.
Write down 8 as next digit of the result. 
Result so far: 368.0
Deduct 104 from 107 and we're left with 3.
Take the next digit (8) from the dividend and append it to 3, then repeat: 38 / 13

Going ahead to step 5:
When dividing 38 by 13, we get 2 with a remainder of 12.
The number 2 becomes the next digit in our result. 
Result so far: 3682.0
Subtracting 26 from 38 leaves us with 12.
Take the next digit (3) from the dividend and append it to 12, then repeat: 123 / 13

Let's proceed to step 6:
The number 13 fits into 123 9 times, leaving a remainder of 6.
Write down 9 as next digit of the result. 
Result so far: 36829.0
Deduct 117 from 123 and we're left 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 7:
13 goes into 60 4 times with a remainder of 8.
Record the quotient 4 as the next digit in the result. 
Result so far: 36829.4
The remainder is 8 after subtracting 52 from 60.
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 8:
13 can be fit into 80 6 times, resulting in a remainder of 2.
Write down 6 as next digit of the result. 
Result so far: 36829.46
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 9:
13 goes into 20 1 times with a remainder of 7.
Record the quotient 1 as the next digit in the result. 
Result so far: 36829.461
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.

Going ahead to step 10:
13 can be fit into 70 5 times, resulting in a remainder of 5.
The next digit of our result is 5. 
Result so far: 36829.4615
If we take 65 away from 70, we end up with 5.
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 11:
13 goes into 50 3 times with a remainder of 11.
Use 3 as the next digit of our solution. 
Result so far: 36829.46153
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 12:
110 divided by 13 is 8 with a remainder of 6.
The number 8 becomes the next digit in our result. 
Result so far: 36829.461538
If we subtract 104 from 110, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 13:
60 divided by 13 is 4 with a remainder of 8.
The next digit of our result is 4. 
Result so far: 36829.4615384
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.

On to step 14:
13 goes into 80 6 times with a remainder of 2.
The next digit of our result is 6. 
Result so far: 36829.46153846
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.

The quotient of the division is 36829.46153846, and the remainder is 2e-09.