421101 ÷ 98 
Our goal is to divide 421101 by 98.

Moving on to step 1:
When dividing 4 by 98, we get 0 with a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Bring next digit (2) of the dividend behind the 4 and repeat the process: 42 / 98

Going ahead to step 2:
When dividing 42 by 98, we get 0 with a remainder of 42.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 42 and we're left with 42.
Fetch the next digit (1) from the dividend, attach it to 42 and continue: 421 / 98

Moving on to step 3:
When dividing 421 by 98, we get 4 with a remainder of 29.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
If we subtract 392 from 421, we get 29.
Fetch the next digit (1) from the dividend, attach it to 29 and continue: 291 / 98

Moving on to step 4:
98 can be fit into 291 2 times, resulting in a remainder of 95.
The number 2 becomes the next digit in our result. 
Result so far: 42.0
If we subtract 196 from 291, we get 95.
Fetch the next digit (0) from the dividend, attach it to 95 and continue: 950 / 98

On to step 5:
98 goes into 950 9 times with a remainder of 68.
The number 9 becomes the next digit in our result. 
Result so far: 429.0
Subtracting 882 from 950 leaves us with 68.
Grab the next digit (1) from the dividend, add it to 68, then carry on: 681 / 98

Going ahead to step 6:
When dividing 681 by 98, we get 6 with a remainder of 93.
The next digit of our result is 6. 
Result so far: 4296.0
Subtracting 588 from 681 leaves us with 93.
Since there are no more digits in the dividend, we add a zero to the remainder making it 930, and continue the process.

On to step 7:
If we divide 930 by 98, we get 9 and a remainder of 48.
Write down 9 as next digit of the result. 
Result so far: 4296.9
If we subtract 882 from 930, we get 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

On to step 8:
When dividing 480 by 98, we get 4 with a remainder of 88.
Use 4 as the next digit of our solution. 
Result so far: 4296.94
Subtracting 392 from 480 leaves us with 88.
Since there are no more digits in the dividend, we add a zero to the remainder making it 880, and continue the process.

Let's proceed to step 9:
The number 98 fits into 880 8 times, leaving a remainder of 96.
Record the quotient 8 as the next digit in the result. 
Result so far: 4296.948
If we take 784 away from 880, we end up with 96.
Since there are no more digits in the dividend, we add a zero to the remainder making it 960, and continue the process.

Going ahead to step 10:
If we divide 960 by 98, we get 9 and a remainder of 78.
Record the quotient 9 as the next digit in the result. 
Result so far: 4296.9489
Subtract 882 from 960 to get 78.
Since there are no more digits in the dividend, we add a zero to the remainder making it 780, and continue the process.

Moving on to step 11:
When dividing 780 by 98, we get 7 with a remainder of 94.
Put 7 as the next digit of the answer. 
Result so far: 4296.94897
If we subtract 686 from 780, we get 94.
Since there are no more digits in the dividend, we add a zero to the remainder making it 940, and continue the process.

Going ahead to step 12:
98 can be fit into 940 9 times, resulting in a remainder of 58.
The number 9 becomes the next digit in our result. 
Result so far: 4296.948979
Subtracting 882 from 940 leaves us with 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

On to step 13:
The number 98 fits into 580 5 times, leaving a remainder of 90.
Put 5 as the next digit of the answer. 
Result so far: 4296.9489795
Subtracting 490 from 580 leaves us with 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 900, and continue the process.

Let's proceed to step 14:
98 can be fit into 900 9 times, resulting in a remainder of 18.
Use 9 as the next digit of our solution. 
Result so far: 4296.94897959
Subtracting 882 from 900 leaves us 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 result is 4296.94897959 with a remainder of 1.8e-08.