We're dividing 25422 by 98 
We're looking to find how many times 98 goes into 25422.

Going ahead to step 1:
2 divided by 98 is 0 with a remainder of 2.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 2 leaves us with 2.
Take the next digit (5) from the dividend and append it to 2, then repeat: 25 / 98

Step 2:
25 divided by 98 is 0 with a remainder of 25.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 25, we get 25.
Include the next digit (4) from the dividend after 25, then repeat: 254 / 98

Step 3:
The number 98 fits into 254 2 times, leaving a remainder of 58.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
If we subtract 196 from 254, we get 58.
Fetch the next digit (2) from the dividend, attach it to 58 and continue: 582 / 98

Moving on to step 4:
If we divide 582 by 98, we get 5 and a remainder of 92.
Put 5 as the next digit of the answer. 
Result so far: 25.0
The remainder is 92 after subtracting 490 from 582.
Append the next digit (2) from the dividend to 92 and continue with: 922 / 98

Going ahead to step 5:
The number 98 fits into 922 9 times, leaving a remainder of 40.
Write down 9 as next digit of the result. 
Result so far: 259.0
If we take 882 away from 922, we end up 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.

Step 6:
98 goes into 400 4 times with a remainder of 8.
The number 4 becomes the next digit in our result. 
Result so far: 259.4
If we subtract 392 from 400, we get 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 7:
98 can be fit into 80 0 times, resulting in a remainder of 80.
Use 0 as the next digit of our solution. 
Result so far: 259.4
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.

Step 8:
98 goes into 800 8 times with a remainder of 16.
The number 8 becomes the next digit in our result. 
Result so far: 259.408
Subtracting 784 from 800 leaves us 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.

Advancing to step 9:
98 goes into 160 1 times with a remainder of 62.
Write down 1 as next digit of the result. 
Result so far: 259.4081
If we take 98 away from 160, we end up 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.

Advancing to step 10:
If we divide 620 by 98, we get 6 and a remainder of 32.
The number 6 becomes the next digit in our result. 
Result so far: 259.40816
The remainder is 32 after subtracting 588 from 620.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Advancing to step 11:
98 goes into 320 3 times with a remainder of 26.
Write down 3 as next digit of the result. 
Result so far: 259.408163
The remainder is 26 after subtracting 294 from 320.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

On to step 12:
If we divide 260 by 98, we get 2 and a remainder of 64.
The number 2 becomes the next digit in our result. 
Result so far: 259.4081632
If we subtract 196 from 260, we get 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Going ahead to step 13:
640 divided by 98 is 6 with a remainder of 52.
Write down 6 as next digit of the result. 
Result so far: 259.40816326
If we take 588 away from 640, we end up with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

The quotient of the division is 259.40816326, and the remainder is 5.2e-08.