We look at the division of 75813 by 15 
We're looking to find how many times 15 goes into 75813.

Going ahead to step 1:
If we divide 7 by 15, we get 0 and a remainder of 7.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 7 and we're left with 7.
Fetch the next digit (5) from the dividend, attach it to 7 and continue: 75 / 15

Let's proceed to step 2:
The number 15 fits into 75 5 times, leaving a remainder of 0.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
Subtract 75 from 75 to get 0.
Fetch the next digit (8) from the dividend, attach it to 0 and continue: 8 / 15

Let's proceed to step 3:
The number 15 fits into 8 0 times, leaving a remainder of 8.
Write down 0 as next digit of the result. 
Result so far: 50.0
The remainder is 8 after subtracting 0 from 8.
Fetch the next digit (1) from the dividend, attach it to 8 and continue: 81 / 15

Advancing to step 4:
If we divide 81 by 15, we get 5 and a remainder of 6.
Record the quotient 5 as the next digit in the result. 
Result so far: 505.0
Subtracting 75 from 81 leaves us with 6.
Fetch the next digit (3) from the dividend, attach it to 6 and continue: 63 / 15

Advancing to step 5:
If we divide 63 by 15, we get 4 and a remainder of 3.
Record the quotient 4 as the next digit in the result. 
Result so far: 5054.0
Deduct 60 from 63 and we're left 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.

Let's proceed to step 6:
15 goes into 30 2 times with a remainder of 0.
Write down 2 as next digit of the result. 
Result so far: 5054.2
If we subtract 30 from 30, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Advancing to step 7:
If we divide 0 by 15, we get 0 and a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 5054.2
Deduct 0 from 0 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

On to step 8:
15 can be fit into 0 0 times, resulting in a remainder of 0.
The next digit of our result is 0. 
Result so far: 5054.2
If we subtract 0 from 0, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The final outcome is 5054.2, with a leftover of 0.0.