120261 divided by 90 
We want to divide 120261 by 90.

Going ahead to step 1:
1 divided by 90 is 0 with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Grab the next digit (2) from the dividend, add it to 1, then carry on: 12 / 90

Moving on to step 2:
If we divide 12 by 90, we get 0 and a remainder of 12.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 12 and we're left with 12.
Grab the next digit (0) from the dividend, add it to 12, then carry on: 120 / 90

Moving on to step 3:
The number 90 fits into 120 1 times, leaving a remainder of 30.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
The remainder is 30 after subtracting 90 from 120.
Include the next digit (2) from the dividend after 30, then repeat: 302 / 90

Moving on to step 4:
If we divide 302 by 90, we get 3 and a remainder of 32.
The number 3 becomes the next digit in our result. 
Result so far: 13.0
If we take 270 away from 302, we end up with 32.
Append the next digit (6) from the dividend to 32 and continue with: 326 / 90

Advancing to step 5:
90 goes into 326 3 times with a remainder of 56.
The number 3 becomes the next digit in our result. 
Result so far: 133.0
Subtracting 270 from 326 leaves us with 56.
Append the next digit (1) from the dividend to 56 and continue with: 561 / 90

Going ahead to step 6:
When dividing 561 by 90, we get 6 with a remainder of 21.
The number 6 becomes the next digit in our result. 
Result so far: 1336.0
Deduct 540 from 561 and we're left with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

On to step 7:
The number 90 fits into 210 2 times, leaving a remainder of 30.
Use 2 as the next digit of our solution. 
Result so far: 1336.2
Subtract 180 from 210 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.

Going ahead to step 8:
300 divided by 90 is 3 with a remainder of 30.
Record the quotient 3 as the next digit in the result. 
Result so far: 1336.23
Subtracting 270 from 300 leaves us 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.

Let's proceed to step 9:
If we divide 300 by 90, we get 3 and a remainder of 30.
The next digit of our result is 3. 
Result so far: 1336.233
Subtracting 270 from 300 leaves us 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.

Our division results in 1336.233 with a remaining 0.003.