We look at the division of 71105 by 90 
Let's see how many times 90 fits into 71105.

Step 1:
The number 90 fits into 7 0 times, leaving a remainder of 7.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 7 after subtracting 0 from 7.
Fetch the next digit (1) from the dividend, attach it to 7 and continue: 71 / 90

Going ahead to step 2:
If we divide 71 by 90, we get 0 and a remainder of 71.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 71, we get 71.
Bring next digit (1) of the dividend behind the 71 and repeat the process: 711 / 90

Let's proceed to step 3:
If we divide 711 by 90, we get 7 and a remainder of 81.
The next digit of our result is 7. 
Result so far: 7.0
Subtracting 630 from 711 leaves us with 81.
Grab the next digit (0) from the dividend, add it to 81, then carry on: 810 / 90

Advancing to step 4:
90 can be fit into 810 9 times, resulting in a remainder of 0.
Record the quotient 9 as the next digit in the result. 
Result so far: 79.0
Subtracting 810 from 810 leaves us with 0.
Append the next digit (5) from the dividend to 0 and continue with: 5 / 90

Let's proceed to step 5:
When dividing 5 by 90, we get 0 with a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 790.0
If we take 0 away from 5, 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.

On to step 6:
When dividing 50 by 90, we get 0 with a remainder of 50.
Write down 0 as next digit of the result. 
Result so far: 790.0
The remainder is 50 after subtracting 0 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Advancing to step 7:
If we divide 500 by 90, we get 5 and a remainder of 50.
Write down 5 as next digit of the result. 
Result so far: 790.05
Deduct 450 from 500 and we're left with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Going ahead to step 8:
The number 90 fits into 500 5 times, leaving a remainder of 50.
The number 5 becomes the next digit in our result. 
Result so far: 790.055
If we take 450 away from 500, we end up with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Our division results in 790.055 with a remaining 0.005.