We're dividing 41101 by 42 
We want to figure out the number of times 41101 can be divided by 42.

Moving on to step 1:
If we divide 4 by 42, we get 0 and a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Fetch the next digit (1) from the dividend, attach it to 4 and continue: 41 / 42

Going ahead to step 2:
If we divide 41 by 42, we get 0 and a remainder of 41.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 41 leaves us with 41.
Bring next digit (1) of the dividend behind the 41 and repeat the process: 411 / 42

Let's proceed to step 3:
The number 42 fits into 411 9 times, leaving a remainder of 33.
Record the quotient 9 as the next digit in the result. 
Result so far: 9.0
If we subtract 378 from 411, we get 33.
Fetch the next digit (0) from the dividend, attach it to 33 and continue: 330 / 42

Going ahead to step 4:
The number 42 fits into 330 7 times, leaving a remainder of 36.
Write down 7 as next digit of the result. 
Result so far: 97.0
Deduct 294 from 330 and we're left with 36.
Bring next digit (1) of the dividend behind the 36 and repeat the process: 361 / 42

Let's proceed to step 5:
42 goes into 361 8 times with a remainder of 25.
Use 8 as the next digit of our solution. 
Result so far: 978.0
Deduct 336 from 361 and we're left with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Moving on to step 6:
42 can be fit into 250 5 times, resulting in a remainder of 40.
Write down 5 as next digit of the result. 
Result so far: 978.5
Deduct 210 from 250 and we're left with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Moving on to step 7:
The number 42 fits into 400 9 times, leaving a remainder of 22.
Write down 9 as next digit of the result. 
Result so far: 978.59
Subtracting 378 from 400 leaves us with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Going ahead to step 8:
If we divide 220 by 42, we get 5 and a remainder of 10.
Put 5 as the next digit of the answer. 
Result so far: 978.595
If we subtract 210 from 220, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 9:
When dividing 100 by 42, we get 2 with a remainder of 16.
Record the quotient 2 as the next digit in the result. 
Result so far: 978.5952
If we take 84 away from 100, we end up with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

On to step 10:
42 can be fit into 160 3 times, resulting in a remainder of 34.
Write down 3 as next digit of the result. 
Result so far: 978.59523
Deduct 126 from 160 and we're left with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Advancing to step 11:
When dividing 340 by 42, we get 8 with a remainder of 4.
Write down 8 as next digit of the result. 
Result so far: 978.595238
If we subtract 336 from 340, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 12:
42 goes into 40 0 times with a remainder of 40.
Write down 0 as next digit of the result. 
Result so far: 978.595238
Deduct 0 from 40 and we're left with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Step 13:
42 can be fit into 400 9 times, resulting in a remainder of 22.
The next digit of our result is 9. 
Result so far: 978.59523809
Subtracting 378 from 400 leaves us with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Our division results in 978.59523809 with a remaining 2.2e-08.