We divide 561617 by 90
We're looking to find how many times 90 goes into 561617.

Going ahead to step 1:
90 goes into 5 0 times with a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Take the next digit (6) from the dividend and append it to 5, then repeat: 56 / 90

Let's proceed to step 2:
90 can be fit into 56 0 times, resulting in a remainder of 56.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 56 to get 56.
Grab the next digit (1) from the dividend, add it to 56, then carry on: 561 / 90

Going ahead to step 3:
90 goes into 561 6 times with a remainder of 21.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
If we subtract 540 from 561, we get 21.
Append the next digit (6) from the dividend to 21 and continue with: 216 / 90

Step 4:
When dividing 216 by 90, we get 2 with a remainder of 36.
Record the quotient 2 as the next digit in the result. 
Result so far: 62.0
Deduct 180 from 216 and we're left with 36.
Grab the next digit (1) from the dividend, add it to 36, then carry on: 361 / 90

Moving on to step 5:
The number 90 fits into 361 4 times, leaving a remainder of 1.
Put 4 as the next digit of the answer. 
Result so far: 624.0
Subtract 360 from 361 to get 1.
Append the next digit (7) from the dividend to 1 and continue with: 17 / 90

Going ahead to step 6:
17 divided by 90 is 0 with a remainder of 17.
Write down 0 as next digit of the result. 
Result so far: 6240.0
Subtracting 0 from 17 leaves us with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Moving on to step 7:
170 divided by 90 is 1 with a remainder of 80.
Use 1 as the next digit of our solution. 
Result so far: 6240.1
If we take 90 away from 170, we end up with 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

Step 8:
When dividing 800 by 90, we get 8 with a remainder of 80.
Record the quotient 8 as the next digit in the result. 
Result so far: 6240.18
Deduct 720 from 800 and we're left with 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

Advancing to step 9:
When dividing 800 by 90, we get 8 with a remainder of 80.
The number 8 becomes the next digit in our result. 
Result so far: 6240.188
Deduct 720 from 800 and we're left with 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

Our division results in 6240.188 with a remaining 0.008.