We're dividing 114259 by 98 
We want to figure out the number of times 114259 can be divided by 98.

Going ahead to step 1:
1 divided by 98 is 0 with a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Take the next digit (1) from the dividend and append it to 1, then repeat: 11 / 98

Advancing to step 2:
The number 98 fits into 11 0 times, leaving a remainder of 11.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 11 after subtracting 0 from 11.
Fetch the next digit (4) from the dividend, attach it to 11 and continue: 114 / 98

Advancing to step 3:
98 can be fit into 114 1 times, resulting in a remainder of 16.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we subtract 98 from 114, we get 16.
Bring next digit (2) of the dividend behind the 16 and repeat the process: 162 / 98

Step 4:
When dividing 162 by 98, we get 1 with a remainder of 64.
Record the quotient 1 as the next digit in the result. 
Result so far: 11.0
If we subtract 98 from 162, we get 64.
Bring next digit (5) of the dividend behind the 64 and repeat the process: 645 / 98

Let's proceed to step 5:
98 goes into 645 6 times with a remainder of 57.
The next digit of our result is 6. 
Result so far: 116.0
If we take 588 away from 645, we end up with 57.
Append the next digit (9) from the dividend to 57 and continue with: 579 / 98

Going ahead to step 6:
If we divide 579 by 98, we get 5 and a remainder of 89.
Write down 5 as next digit of the result. 
Result so far: 1165.0
The remainder is 89 after subtracting 490 from 579.
Since there are no more digits in the dividend, we add a zero to the remainder making it 890, and continue the process.

On to step 7:
If we divide 890 by 98, we get 9 and a remainder of 8.
Put 9 as the next digit of the answer. 
Result so far: 1165.9
Deduct 882 from 890 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.

On to step 8:
The number 98 fits into 80 0 times, leaving a remainder of 80.
The next digit of our result is 0. 
Result so far: 1165.9
Deduct 0 from 80 and we're left with 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 9:
The number 98 fits into 800 8 times, leaving a remainder of 16.
Put 8 as the next digit of the answer. 
Result so far: 1165.908
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.

Step 10:
98 can be fit into 160 1 times, resulting in a remainder of 62.
Write down 1 as next digit of the result. 
Result so far: 1165.9081
If we subtract 98 from 160, we get 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

Let's proceed to step 11:
The number 98 fits into 620 6 times, leaving a remainder of 32.
Write down 6 as next digit of the result. 
Result so far: 1165.90816
Deduct 588 from 620 and we're left with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Moving on to step 12:
320 divided by 98 is 3 with a remainder of 26.
Put 3 as the next digit of the answer. 
Result so far: 1165.908163
If we take 294 away from 320, we end up with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Let's proceed to step 13:
The number 98 fits into 260 2 times, leaving a remainder of 64.
Record the quotient 2 as the next digit in the result. 
Result so far: 1165.9081632
Subtracting 196 from 260 leaves us with 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Let's proceed to step 14:
98 goes into 640 6 times with a remainder of 52.
Use 6 as the next digit of our solution. 
Result so far: 1165.90816326
Deduct 588 from 640 and we're left 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 1165.90816326, and the remainder is 5.2e-08.