Let's divide 114416 by 91
Our goal is to divide 114416 by 91.

Let's proceed to step 1:
The number 91 fits into 1 0 times, leaving a remainder of 1.
Record the quotient 0 as the next digit in the result. 
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 / 91

On to step 2:
91 goes into 11 0 times with a remainder of 11.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 11 after subtracting 0 from 11.
Include the next digit (4) from the dividend after 11, then repeat: 114 / 91

Step 3:
91 can be fit into 114 1 times, resulting in a remainder of 23.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtracting 91 from 114 leaves us with 23.
Bring next digit (4) of the dividend behind the 23 and repeat the process: 234 / 91

On to step 4:
91 can be fit into 234 2 times, resulting in a remainder of 52.
Record the quotient 2 as the next digit in the result. 
Result so far: 12.0
Subtracting 182 from 234 leaves us with 52.
Grab the next digit (1) from the dividend, add it to 52, then carry on: 521 / 91

Step 5:
91 can be fit into 521 5 times, resulting in a remainder of 66.
The next digit of our result is 5. 
Result so far: 125.0
The remainder is 66 after subtracting 455 from 521.
Include the next digit (6) from the dividend after 66, then repeat: 666 / 91

Advancing to step 6:
When dividing 666 by 91, we get 7 with a remainder of 29.
Use 7 as the next digit of our solution. 
Result so far: 1257.0
Deduct 637 from 666 and we're left with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Let's proceed to step 7:
When dividing 290 by 91, we get 3 with a remainder of 17.
Put 3 as the next digit of the answer. 
Result so far: 1257.3
Subtracting 273 from 290 leaves us with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Step 8:
If we divide 170 by 91, we get 1 and a remainder of 79.
Use 1 as the next digit of our solution. 
Result so far: 1257.31
If we take 91 away from 170, we end up with 79.
Since there are no more digits in the dividend, we add a zero to the remainder making it 790, and continue the process.

Moving on to step 9:
91 can be fit into 790 8 times, resulting in a remainder of 62.
The next digit of our result is 8. 
Result so far: 1257.318
Subtracting 728 from 790 leaves us 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.

Going ahead to step 10:
91 goes into 620 6 times with a remainder of 74.
Put 6 as the next digit of the answer. 
Result so far: 1257.3186
If we subtract 546 from 620, we get 74.
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:
When dividing 740 by 91, we get 8 with a remainder of 12.
Write down 8 as next digit of the result. 
Result so far: 1257.31868
If we take 728 away from 740, we end up 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.

Step 12:
91 goes into 120 1 times with a remainder of 29.
The number 1 becomes the next digit in our result. 
Result so far: 1257.318681
Subtracting 91 from 120 leaves us with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Moving on to step 13:
When dividing 290 by 91, we get 3 with a remainder of 17.
The number 3 becomes the next digit in our result. 
Result so far: 1257.3186813
If we subtract 273 from 290, we get 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Moving on to step 14:
91 goes into 170 1 times with a remainder of 79.
The next digit of our result is 1. 
Result so far: 1257.31868131
If we subtract 91 from 170, we get 79.
Since there are no more digits in the dividend, we add a zero to the remainder making it 790, and continue the process.

The quotient of the division is 1257.31868131, and the remainder is 7.9e-08.