We look at the division of 45559 by 8 
Let's see how many times 8 fits into 45559.

Advancing to step 1:
When dividing 4 by 8, we get 0 with a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Grab the next digit (5) from the dividend, add it to 4, then carry on: 45 / 8

Advancing to step 2:
When dividing 45 by 8, we get 5 with a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 5.0
Deduct 40 from 45 and we're left with 5.
Grab the next digit (5) from the dividend, add it to 5, then carry on: 55 / 8

Advancing to step 3:
The number 8 fits into 55 6 times, leaving a remainder of 7.
Put 6 as the next digit of the answer. 
Result so far: 56.0
Deduct 48 from 55 and we're left with 7.
Grab the next digit (5) from the dividend, add it to 7, then carry on: 75 / 8

Let's proceed to step 4:
8 goes into 75 9 times with a remainder of 3.
Use 9 as the next digit of our solution. 
Result so far: 569.0
The remainder is 3 after subtracting 72 from 75.
Take the next digit (9) from the dividend and append it to 3, then repeat: 39 / 8

Advancing to step 5:
The number 8 fits into 39 4 times, leaving a remainder of 7.
The number 4 becomes the next digit in our result. 
Result so far: 5694.0
Subtract 32 from 39 to get 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 6:
When dividing 70 by 8, we get 8 with a remainder of 6.
Record the quotient 8 as the next digit in the result. 
Result so far: 5694.8
Subtract 64 from 70 to 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.

Step 7:
The number 8 fits into 60 7 times, leaving a remainder of 4.
Record the quotient 7 as the next digit in the result. 
Result so far: 5694.87
Deduct 56 from 60 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.

Let's proceed to step 8:
40 divided by 8 is 5 with a remainder of 0.
Record the quotient 5 as the next digit in the result. 
Result so far: 5694.875
Deduct 40 from 40 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.

Advancing to step 9:
0 divided by 8 is 0 with a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 5694.875
Subtract 0 from 0 to 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.

On to step 10:
If we divide 0 by 8, we get 0 and a remainder of 0.
The next digit of our result is 0. 
Result so far: 5694.875
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 result is 5694.875 with a remainder of 0.0.