We divide 100677 by 90
Our goal is to divide 100677 by 90.

Advancing to step 1:
If we divide 1 by 90, we get 0 and a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Grab the next digit (0) from the dividend, add it to 1, then carry on: 10 / 90

On to step 2:
When dividing 10 by 90, we get 0 with a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 10, we get 10.
Grab the next digit (0) from the dividend, add it to 10, then carry on: 100 / 90

Going ahead to step 3:
90 goes into 100 1 times with a remainder of 10.
Use 1 as the next digit of our solution. 
Result so far: 1.0
The remainder is 10 after subtracting 90 from 100.
Take the next digit (6) from the dividend and append it to 10, then repeat: 106 / 90

Step 4:
If we divide 106 by 90, we get 1 and a remainder of 16.
Record the quotient 1 as the next digit in the result. 
Result so far: 11.0
Deduct 90 from 106 and we're left with 16.
Fetch the next digit (7) from the dividend, attach it to 16 and continue: 167 / 90

On to step 5:
90 goes into 167 1 times with a remainder of 77.
Record the quotient 1 as the next digit in the result. 
Result so far: 111.0
Subtracting 90 from 167 leaves us with 77.
Include the next digit (7) from the dividend after 77, then repeat: 777 / 90

Advancing to step 6:
90 goes into 777 8 times with a remainder of 57.
The next digit of our result is 8. 
Result so far: 1118.0
If we subtract 720 from 777, we get 57.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

Moving on to step 7:
90 goes into 570 6 times with a remainder of 30.
Use 6 as the next digit of our solution. 
Result so far: 1118.6
Subtract 540 from 570 to get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

On to step 8:
When dividing 300 by 90, we get 3 with a remainder of 30.
Record the quotient 3 as the next digit in the result. 
Result so far: 1118.63
Deduct 270 from 300 and we're left with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Step 9:
When dividing 300 by 90, we get 3 with a remainder of 30.
The next digit of our result is 3. 
Result so far: 1118.633
If we subtract 270 from 300, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Our division results in 1118.633 with a remaining 0.003.