We're dividing 107671 by 90 
Our goal is to divide 107671 by 90.

Going ahead to step 1:
If we divide 1 by 90, we get 0 and a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Grab the next digit (0) from the dividend, add it to 1, then carry on: 10 / 90

Moving on to step 2:
90 can be fit into 10 0 times, resulting in a remainder of 10.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 10, we end up with 10.
Bring next digit (7) of the dividend behind the 10 and repeat the process: 107 / 90

Step 3:
90 can be fit into 107 1 times, resulting in a remainder of 17.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtracting 90 from 107 leaves us with 17.
Grab the next digit (6) from the dividend, add it to 17, then carry on: 176 / 90

Let's proceed to step 4:
90 goes into 176 1 times with a remainder of 86.
Write down 1 as next digit of the result. 
Result so far: 11.0
If we subtract 90 from 176, we get 86.
Bring next digit (7) of the dividend behind the 86 and repeat the process: 867 / 90

Step 5:
867 divided by 90 is 9 with a remainder of 57.
Record the quotient 9 as the next digit in the result. 
Result so far: 119.0
If we subtract 810 from 867, we get 57.
Fetch the next digit (1) from the dividend, attach it to 57 and continue: 571 / 90

Let's proceed to step 6:
90 can be fit into 571 6 times, resulting in a remainder of 31.
Record the quotient 6 as the next digit in the result. 
Result so far: 1196.0
Deduct 540 from 571 and we're left with 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

On to step 7:
90 can be fit into 310 3 times, resulting in a remainder of 40.
Use 3 as the next digit of our solution. 
Result so far: 1196.3
The remainder is 40 after subtracting 270 from 310.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Step 8:
90 can be fit into 400 4 times, resulting in a remainder of 40.
Put 4 as the next digit of the answer. 
Result so far: 1196.34
If we subtract 360 from 400, we get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Let's proceed to step 9:
90 can be fit into 400 4 times, resulting in a remainder of 40.
The number 4 becomes the next digit in our result. 
Result so far: 1196.344
Subtract 360 from 400 to get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

After the division, we end up with 1196.344 and a remainder of 0.004.