We look at the division of 631661 by 90 
Our goal is to divide 631661 by 90.

Advancing to step 1:
If we divide 6 by 90, we get 0 and a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Include the next digit (3) from the dividend after 6, then repeat: 63 / 90

Step 2:
90 goes into 63 0 times with a remainder of 63.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 63, we end up with 63.
Grab the next digit (1) from the dividend, add it to 63, then carry on: 631 / 90

On to step 3:
90 goes into 631 7 times with a remainder of 1.
Use 7 as the next digit of our solution. 
Result so far: 7.0
If we take 630 away from 631, we end up with 1.
Grab the next digit (6) from the dividend, add it to 1, then carry on: 16 / 90

Moving on to step 4:
The number 90 fits into 16 0 times, leaving a remainder of 16.
Put 0 as the next digit of the answer. 
Result so far: 70.0
If we take 0 away from 16, we end up with 16.
Fetch the next digit (6) from the dividend, attach it to 16 and continue: 166 / 90

Going ahead to step 5:
166 divided by 90 is 1 with a remainder of 76.
Record the quotient 1 as the next digit in the result. 
Result so far: 701.0
Deduct 90 from 166 and we're left with 76.
Append the next digit (1) from the dividend to 76 and continue with: 761 / 90

Advancing to step 6:
If we divide 761 by 90, we get 8 and a remainder of 41.
The next digit of our result is 8. 
Result so far: 7018.0
The remainder is 41 after subtracting 720 from 761.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Let's proceed to step 7:
The number 90 fits into 410 4 times, leaving a remainder of 50.
Use 4 as the next digit of our solution. 
Result so far: 7018.4
If we subtract 360 from 410, we get 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:
If we divide 500 by 90, we get 5 and a remainder of 50.
Record the quotient 5 as the next digit in the result. 
Result so far: 7018.45
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.

Step 9:
90 can be fit into 500 5 times, resulting in a remainder of 50.
The number 5 becomes the next digit in our result. 
Result so far: 7018.455
Subtracting 450 from 500 leaves us 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.

The final result is 7018.455 with a remainder of 0.005.