We're dividing 25597 by 98 
Let's see how many times 98 fits into 25597.

Let's proceed to step 1:
The number 98 fits into 2 0 times, leaving a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 2 leaves us with 2.
Grab the next digit (5) from the dividend, add it to 2, then carry on: 25 / 98

Let's proceed to step 2:
When dividing 25 by 98, we get 0 with a remainder of 25.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 25 after subtracting 0 from 25.
Bring next digit (5) of the dividend behind the 25 and repeat the process: 255 / 98

Moving on to step 3:
If we divide 255 by 98, we get 2 and a remainder of 59.
Put 2 as the next digit of the answer. 
Result so far: 2.0
If we subtract 196 from 255, we get 59.
Grab the next digit (9) from the dividend, add it to 59, then carry on: 599 / 98

Going ahead to step 4:
98 can be fit into 599 6 times, resulting in a remainder of 11.
Write down 6 as next digit of the result. 
Result so far: 26.0
If we subtract 588 from 599, we get 11.
Fetch the next digit (7) from the dividend, attach it to 11 and continue: 117 / 98

Step 5:
If we divide 117 by 98, we get 1 and a remainder of 19.
Put 1 as the next digit of the answer. 
Result so far: 261.0
Deduct 98 from 117 and we're left with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Going ahead to step 6:
98 goes into 190 1 times with a remainder of 92.
Use 1 as the next digit of our solution. 
Result so far: 261.1
Subtracting 98 from 190 leaves us with 92.
Since there are no more digits in the dividend, we add a zero to the remainder making it 920, and continue the process.

Step 7:
If we divide 920 by 98, we get 9 and a remainder of 38.
The next digit of our result is 9. 
Result so far: 261.19
If we subtract 882 from 920, we get 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Advancing to step 8:
98 goes into 380 3 times with a remainder of 86.
The number 3 becomes the next digit in our result. 
Result so far: 261.193
If we subtract 294 from 380, we get 86.
Since there are no more digits in the dividend, we add a zero to the remainder making it 860, and continue the process.

Moving on to step 9:
When dividing 860 by 98, we get 8 with a remainder of 76.
Record the quotient 8 as the next digit in the result. 
Result so far: 261.1938
The remainder is 76 after subtracting 784 from 860.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

Advancing to step 10:
98 can be fit into 760 7 times, resulting in a remainder of 74.
The next digit of our result is 7. 
Result so far: 261.19387
The remainder is 74 after subtracting 686 from 760.
Since there are no more digits in the dividend, we add a zero to the remainder making it 740, and continue the process.

Let's proceed to step 11:
98 can be fit into 740 7 times, resulting in a remainder of 54.
The next digit of our result is 7. 
Result so far: 261.193877
If we take 686 away from 740, we end up with 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 outcome is 261.193877, with a leftover of 5.4e-06.