Let's divide 10950 by 42
We want to divide 10950 by 42.

Step 1:
If we divide 1 by 42, we get 0 and a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Fetch the next digit (0) from the dividend, attach it to 1 and continue: 10 / 42

On to step 2:
42 can be fit into 10 0 times, resulting in 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.
Take the next digit (9) from the dividend and append it to 10, then repeat: 109 / 42

On to step 3:
109 divided by 42 is 2 with a remainder of 25.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
Subtract 84 from 109 to get 25.
Grab the next digit (5) from the dividend, add it to 25, then carry on: 255 / 42

Going ahead to step 4:
If we divide 255 by 42, we get 6 and a remainder of 3.
The number 6 becomes the next digit in our result. 
Result so far: 26.0
The remainder is 3 after subtracting 252 from 255.
Fetch the next digit (0) from the dividend, attach it to 3 and continue: 30 / 42

Moving on to step 5:
30 divided by 42 is 0 with a remainder of 30.
Use 0 as the next digit of our solution. 
Result so far: 260.0
Deduct 0 from 30 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 6:
If we divide 300 by 42, we get 7 and a remainder of 6.
The next digit of our result is 7. 
Result so far: 260.7
If we subtract 294 from 300, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Moving on to step 7:
60 divided by 42 is 1 with a remainder of 18.
Record the quotient 1 as the next digit in the result. 
Result so far: 260.71
The remainder is 18 after subtracting 42 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Going ahead to step 8:
42 can be fit into 180 4 times, resulting in a remainder of 12.
Use 4 as the next digit of our solution. 
Result so far: 260.714
Deduct 168 from 180 and we're left with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Moving on to step 9:
42 goes into 120 2 times with a remainder of 36.
Use 2 as the next digit of our solution. 
Result so far: 260.7142
The remainder is 36 after subtracting 84 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Step 10:
The number 42 fits into 360 8 times, leaving a remainder of 24.
The next digit of our result is 8. 
Result so far: 260.71428
Subtract 336 from 360 to get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Step 11:
When dividing 240 by 42, we get 5 with a remainder of 30.
The next digit of our result is 5. 
Result so far: 260.714285
If we subtract 210 from 240, 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.

Step 12:
42 can be fit into 300 7 times, resulting in a remainder of 6.
Put 7 as the next digit of the answer. 
Result so far: 260.7142857
The remainder is 6 after subtracting 294 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Moving on to step 13:
The number 42 fits into 60 1 times, leaving a remainder of 18.
Put 1 as the next digit of the answer. 
Result so far: 260.71428571
Deduct 42 from 60 and we're left with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

The final outcome is 260.71428571, with a leftover of 1.8e-08.