98261 ÷ 55 
We want to divide 98261 by 55.

Let's proceed to step 1:
9 divided by 55 is 0 with a remainder of 9.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 9 leaves us with 9.
Take the next digit (8) from the dividend and append it to 9, then repeat: 98 / 55

On to step 2:
98 divided by 55 is 1 with a remainder of 43.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
The remainder is 43 after subtracting 55 from 98.
Fetch the next digit (2) from the dividend, attach it to 43 and continue: 432 / 55

Moving on to step 3:
55 goes into 432 7 times with a remainder of 47.
The number 7 becomes the next digit in our result. 
Result so far: 17.0
Subtracting 385 from 432 leaves us with 47.
Grab the next digit (6) from the dividend, add it to 47, then carry on: 476 / 55

Moving on to step 4:
When dividing 476 by 55, we get 8 with a remainder of 36.
The number 8 becomes the next digit in our result. 
Result so far: 178.0
Deduct 440 from 476 and we're left with 36.
Grab the next digit (1) from the dividend, add it to 36, then carry on: 361 / 55

Moving on to step 5:
361 divided by 55 is 6 with a remainder of 31.
Use 6 as the next digit of our solution. 
Result so far: 1786.0
Deduct 330 from 361 and we're left with 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Moving on to step 6:
If we divide 310 by 55, we get 5 and a remainder of 35.
The next digit of our result is 5. 
Result so far: 1786.5
If we subtract 275 from 310, we get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Moving on to step 7:
When dividing 350 by 55, we get 6 with a remainder of 20.
The number 6 becomes the next digit in our result. 
Result so far: 1786.56
If we subtract 330 from 350, 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.

Moving on to step 8:
The number 55 fits into 200 3 times, leaving a remainder of 35.
Write down 3 as next digit of the result. 
Result so far: 1786.563
The remainder is 35 after subtracting 165 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

On to step 9:
If we divide 350 by 55, we get 6 and a remainder of 20.
Use 6 as the next digit of our solution. 
Result so far: 1786.5636
If we subtract 330 from 350, 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.

Going ahead to step 10:
If we divide 200 by 55, we get 3 and a remainder of 35.
Use 3 as the next digit of our solution. 
Result so far: 1786.56363
The remainder is 35 after subtracting 165 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

On to step 11:
55 can be fit into 350 6 times, resulting in a remainder of 20.
Write down 6 as next digit of the result. 
Result so far: 1786.563636
Deduct 330 from 350 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.

Let's proceed to step 12:
The number 55 fits into 200 3 times, leaving a remainder of 35.
Use 3 as the next digit of our solution. 
Result so far: 1786.5636363
Subtract 165 from 200 to get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Moving on to step 13:
55 goes into 350 6 times with a remainder of 20.
Write down 6 as next digit of the result. 
Result so far: 1786.56363636
Deduct 330 from 350 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.

After the division, we end up with 1786.56363636 and a remainder of 2e-08.