We're dividing 9550 by 90 
Our goal is to divide 9550 by 90.

Advancing to step 1:
90 can be fit into 9 0 times, resulting in a remainder of 9.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 9 after subtracting 0 from 9.
Append the next digit (5) from the dividend to 9 and continue with: 95 / 90

Advancing to step 2:
95 divided by 90 is 1 with a remainder of 5.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we take 90 away from 95, we end up with 5.
Fetch the next digit (5) from the dividend, attach it to 5 and continue: 55 / 90

Step 3:
When dividing 55 by 90, we get 0 with a remainder of 55.
Put 0 as the next digit of the answer. 
Result so far: 10.0
Subtracting 0 from 55 leaves us with 55.
Grab the next digit (0) from the dividend, add it to 55, then carry on: 550 / 90

On to step 4:
If we divide 550 by 90, we get 6 and a remainder of 10.
The next digit of our result is 6. 
Result so far: 106.0
The remainder is 10 after subtracting 540 from 550.
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 5:
90 goes into 100 1 times with a remainder of 10.
Put 1 as the next digit of the answer. 
Result so far: 106.1
If we take 90 away from 100, we end up 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.

Advancing to step 6:
100 divided by 90 is 1 with a remainder of 10.
Write down 1 as next digit of the result. 
Result so far: 106.11
If we take 90 away from 100, we end up 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.

After the division, we end up with 106.11 and a remainder of 0.01.