We look at the division of 435638 by 98 
We're looking to find how many times 98 goes into 435638.

On to step 1:
If we divide 4 by 98, we get 0 and a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Take the next digit (3) from the dividend and append it to 4, then repeat: 43 / 98

Moving on to step 2:
43 divided by 98 is 0 with a remainder of 43.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 43 after subtracting 0 from 43.
Bring next digit (5) of the dividend behind the 43 and repeat the process: 435 / 98

Let's proceed to step 3:
435 divided by 98 is 4 with a remainder of 43.
Write down 4 as next digit of the result. 
Result so far: 4.0
Subtract 392 from 435 to get 43.
Take the next digit (6) from the dividend and append it to 43, then repeat: 436 / 98

Moving on to step 4:
When dividing 436 by 98, we get 4 with a remainder of 44.
The number 4 becomes the next digit in our result. 
Result so far: 44.0
Subtract 392 from 436 to get 44.
Grab the next digit (3) from the dividend, add it to 44, then carry on: 443 / 98

Moving on to step 5:
98 can be fit into 443 4 times, resulting in a remainder of 51.
Record the quotient 4 as the next digit in the result. 
Result so far: 444.0
If we subtract 392 from 443, we get 51.
Bring next digit (8) of the dividend behind the 51 and repeat the process: 518 / 98

Going ahead to step 6:
If we divide 518 by 98, we get 5 and a remainder of 28.
The number 5 becomes the next digit in our result. 
Result so far: 4445.0
Subtract 490 from 518 to get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Moving on to step 7:
The number 98 fits into 280 2 times, leaving a remainder of 84.
The next digit of our result is 2. 
Result so far: 4445.2
If we take 196 away from 280, we end up with 84.
Since there are no more digits in the dividend, we add a zero to the remainder making it 840, and continue the process.

Going ahead to step 8:
The number 98 fits into 840 8 times, leaving a remainder of 56.
Write down 8 as next digit of the result. 
Result so far: 4445.28
The remainder is 56 after subtracting 784 from 840.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Step 9:
98 goes into 560 5 times with a remainder of 70.
The number 5 becomes the next digit in our result. 
Result so far: 4445.285
Subtracting 490 from 560 leaves us with 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Step 10:
98 goes into 700 7 times with a remainder of 14.
Write down 7 as next digit of the result. 
Result so far: 4445.2857
If we subtract 686 from 700, we get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Advancing to step 11:
The number 98 fits into 140 1 times, leaving a remainder of 42.
Write down 1 as next digit of the result. 
Result so far: 4445.28571
If we subtract 98 from 140, we get 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

On to step 12:
98 goes into 420 4 times with a remainder of 28.
Put 4 as the next digit of the answer. 
Result so far: 4445.285714
If we subtract 392 from 420, we get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Moving on to step 13:
If we divide 280 by 98, we get 2 and a remainder of 84.
The number 2 becomes the next digit in our result. 
Result so far: 4445.2857142
The remainder is 84 after subtracting 196 from 280.
Since there are no more digits in the dividend, we add a zero to the remainder making it 840, and continue the process.

Step 14:
98 goes into 840 8 times with a remainder of 56.
Write down 8 as next digit of the result. 
Result so far: 4445.28571428
Subtract 784 from 840 to get 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

The final outcome is 4445.28571428, with a leftover of 5.6e-08.