635981 ÷ 98 
Our goal is to divide 635981 by 98.

Going ahead to step 1:
6 divided by 98 is 0 with a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Grab the next digit (3) from the dividend, add it to 6, then carry on: 63 / 98

On to step 2:
When dividing 63 by 98, we get 0 with a remainder of 63.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 63 to get 63.
Include the next digit (5) from the dividend after 63, then repeat: 635 / 98

Advancing to step 3:
635 divided by 98 is 6 with a remainder of 47.
The next digit of our result is 6. 
Result so far: 6.0
Subtracting 588 from 635 leaves us with 47.
Fetch the next digit (9) from the dividend, attach it to 47 and continue: 479 / 98

Let's proceed to step 4:
479 divided by 98 is 4 with a remainder of 87.
Put 4 as the next digit of the answer. 
Result so far: 64.0
Subtract 392 from 479 to get 87.
Append the next digit (8) from the dividend to 87 and continue with: 878 / 98

On to step 5:
98 goes into 878 8 times with a remainder of 94.
Put 8 as the next digit of the answer. 
Result so far: 648.0
If we take 784 away from 878, we end up with 94.
Grab the next digit (1) from the dividend, add it to 94, then carry on: 941 / 98

Moving on to step 6:
When dividing 941 by 98, we get 9 with a remainder of 59.
Record the quotient 9 as the next digit in the result. 
Result so far: 6489.0
The remainder is 59 after subtracting 882 from 941.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

On to step 7:
When dividing 590 by 98, we get 6 with a remainder of 2.
Use 6 as the next digit of our solution. 
Result so far: 6489.6
If we subtract 588 from 590, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Advancing to step 8:
98 goes into 20 0 times with a remainder of 20.
The number 0 becomes the next digit in our result. 
Result so far: 6489.6
The remainder is 20 after subtracting 0 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Advancing to step 9:
If we divide 200 by 98, we get 2 and a remainder of 4.
The number 2 becomes the next digit in our result. 
Result so far: 6489.602
Subtracting 196 from 200 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 10:
98 goes into 40 0 times with a remainder of 40.
The number 0 becomes the next digit in our result. 
Result so far: 6489.602
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.

On to step 11:
If we divide 400 by 98, we get 4 and a remainder of 8.
Record the quotient 4 as the next digit in the result. 
Result so far: 6489.60204
Deduct 392 from 400 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 12:
When dividing 80 by 98, we get 0 with a remainder of 80.
Use 0 as the next digit of our solution. 
Result so far: 6489.60204
The remainder is 80 after subtracting 0 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

Moving on to step 13:
The number 98 fits into 800 8 times, leaving a remainder of 16.
The next digit of our result is 8. 
Result so far: 6489.6020408
If we take 784 away from 800, 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 14:
If we divide 160 by 98, we get 1 and a remainder of 62.
Record the quotient 1 as the next digit in the result. 
Result so far: 6489.60204081
Deduct 98 from 160 and we're left with 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

Our division results in 6489.60204081 with a remaining 6.2e-08.