We look at the division of 11541 by 98 
We want to divide 11541 by 98.

Step 1:
If we divide 1 by 98, we get 0 and a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Bring next digit (1) of the dividend behind the 1 and repeat the process: 11 / 98

On to step 2:
When dividing 11 by 98, we get 0 with a remainder of 11.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 11 after subtracting 0 from 11.
Bring next digit (5) of the dividend behind the 11 and repeat the process: 115 / 98

Going ahead to step 3:
115 divided by 98 is 1 with a remainder of 17.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Subtract 98 from 115 to get 17.
Take the next digit (4) from the dividend and append it to 17, then repeat: 174 / 98

Going ahead to step 4:
98 goes into 174 1 times with a remainder of 76.
The number 1 becomes the next digit in our result. 
Result so far: 11.0
If we take 98 away from 174, we end up with 76.
Bring next digit (1) of the dividend behind the 76 and repeat the process: 761 / 98

Step 5:
The number 98 fits into 761 7 times, leaving a remainder of 75.
Record the quotient 7 as the next digit in the result. 
Result so far: 117.0
If we subtract 686 from 761, we get 75.
Since there are no more digits in the dividend, we add a zero to the remainder making it 750, and continue the process.

Moving on to step 6:
98 goes into 750 7 times with a remainder of 64.
Record the quotient 7 as the next digit in the result. 
Result so far: 117.7
The remainder is 64 after subtracting 686 from 750.
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 7:
The number 98 fits into 640 6 times, leaving a remainder of 52.
Write down 6 as next digit of the result. 
Result so far: 117.76
Subtracting 588 from 640 leaves us 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.

Step 8:
98 can be fit into 520 5 times, resulting in a remainder of 30.
Record the quotient 5 as the next digit in the result. 
Result so far: 117.765
Deduct 490 from 520 and we're left with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Step 9:
When dividing 300 by 98, we get 3 with a remainder of 6.
The number 3 becomes the next digit in our result. 
Result so far: 117.7653
Subtract 294 from 300 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 10:
The number 98 fits into 60 0 times, leaving a remainder of 60.
Use 0 as the next digit of our solution. 
Result so far: 117.7653
If we subtract 0 from 60, we get 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Going ahead to step 11:
If we divide 600 by 98, we get 6 and a remainder of 12.
The number 6 becomes the next digit in our result. 
Result so far: 117.765306
Subtracting 588 from 600 leaves us with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Advancing to step 12:
When dividing 120 by 98, we get 1 with a remainder of 22.
Write down 1 as next digit of the result. 
Result so far: 117.7653061
If we take 98 away from 120, we end up with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Advancing to step 13:
The number 98 fits into 220 2 times, leaving a remainder of 24.
The number 2 becomes the next digit in our result. 
Result so far: 117.76530612
Deduct 196 from 220 and we're left with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

The final result is 117.76530612 with a remainder of 2.4e-08.