We look at the division of 421841 by 45 
Let's see how many times 45 fits into 421841.

Moving on to step 1:
45 can be fit into 4 0 times, resulting in a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Bring next digit (2) of the dividend behind the 4 and repeat the process: 42 / 45

Advancing to step 2:
The number 45 fits into 42 0 times, leaving a remainder of 42.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 42 to get 42.
Take the next digit (1) from the dividend and append it to 42, then repeat: 421 / 45

Advancing to step 3:
The number 45 fits into 421 9 times, leaving a remainder of 16.
Record the quotient 9 as the next digit in the result. 
Result so far: 9.0
Subtract 405 from 421 to get 16.
Grab the next digit (8) from the dividend, add it to 16, then carry on: 168 / 45

Going ahead to step 4:
If we divide 168 by 45, we get 3 and a remainder of 33.
The next digit of our result is 3. 
Result so far: 93.0
The remainder is 33 after subtracting 135 from 168.
Grab the next digit (4) from the dividend, add it to 33, then carry on: 334 / 45

Step 5:
334 divided by 45 is 7 with a remainder of 19.
The number 7 becomes the next digit in our result. 
Result so far: 937.0
Subtract 315 from 334 to get 19.
Bring next digit (1) of the dividend behind the 19 and repeat the process: 191 / 45

On to step 6:
45 can be fit into 191 4 times, resulting in a remainder of 11.
Use 4 as the next digit of our solution. 
Result so far: 9374.0
Subtracting 180 from 191 leaves us with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

On to step 7:
When dividing 110 by 45, we get 2 with a remainder of 20.
Record the quotient 2 as the next digit in the result. 
Result so far: 9374.2
Subtract 90 from 110 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Going ahead to step 8:
45 goes into 200 4 times with a remainder of 20.
Put 4 as the next digit of the answer. 
Result so far: 9374.24
Deduct 180 from 200 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

On to step 9:
When dividing 200 by 45, we get 4 with a remainder of 20.
The number 4 becomes the next digit in our result. 
Result so far: 9374.244
If we subtract 180 from 200, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

The final outcome is 9374.244, with a leftover of 0.002.