We look at the division of 421982 by 98 
We're looking to find how many times 98 goes into 421982.

Advancing to step 1:
98 goes into 4 0 times with a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Grab the next digit (2) from the dividend, add it to 4, then carry on: 42 / 98

Advancing to step 2:
If we divide 42 by 98, we get 0 and a remainder of 42.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 42 after subtracting 0 from 42.
Take the next digit (1) from the dividend and append it to 42, then repeat: 421 / 98

Going ahead to step 3:
The number 98 fits into 421 4 times, leaving a remainder of 29.
The next digit of our result is 4. 
Result so far: 4.0
If we subtract 392 from 421, we get 29.
Bring next digit (9) of the dividend behind the 29 and repeat the process: 299 / 98

Going ahead to step 4:
299 divided by 98 is 3 with a remainder of 5.
Write down 3 as next digit of the result. 
Result so far: 43.0
Subtract 294 from 299 to get 5.
Fetch the next digit (8) from the dividend, attach it to 5 and continue: 58 / 98

Advancing to step 5:
98 goes into 58 0 times with a remainder of 58.
Put 0 as the next digit of the answer. 
Result so far: 430.0
Deduct 0 from 58 and we're left with 58.
Append the next digit (2) from the dividend to 58 and continue with: 582 / 98

Going ahead to step 6:
582 divided by 98 is 5 with a remainder of 92.
Record the quotient 5 as the next digit in the result. 
Result so far: 4305.0
Subtract 490 from 582 to get 92.
Since there are no more digits in the dividend, we add a zero to the remainder making it 920, and continue the process.

Moving on to step 7:
98 can be fit into 920 9 times, resulting in a remainder of 38.
The next digit of our result is 9. 
Result so far: 4305.9
Deduct 882 from 920 and we're left with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Step 8:
When dividing 380 by 98, we get 3 with a remainder of 86.
Write down 3 as next digit of the result. 
Result so far: 4305.93
Subtracting 294 from 380 leaves us with 86.
Since there are no more digits in the dividend, we add a zero to the remainder making it 860, and continue the process.

Let's proceed to step 9:
98 goes into 860 8 times with a remainder of 76.
The next digit of our result is 8. 
Result so far: 4305.938
If we subtract 784 from 860, we get 76.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

Moving on to step 10:
98 goes into 760 7 times with a remainder of 74.
Put 7 as the next digit of the answer. 
Result so far: 4305.9387
Deduct 686 from 760 and we're left with 74.
Since there are no more digits in the dividend, we add a zero to the remainder making it 740, and continue the process.

On to step 11:
98 can be fit into 740 7 times, resulting in a remainder of 54.
The number 7 becomes the next digit in our result. 
Result so far: 4305.93877
Subtract 686 from 740 to get 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

The final result is 4305.93877 with a remainder of 5.4e-05.