17416 ÷ 91 
Our goal is to divide 17416 by 91.

Step 1:
The number 91 fits into 1 0 times, leaving a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Bring next digit (7) of the dividend behind the 1 and repeat the process: 17 / 91

Going ahead to step 2:
The number 91 fits into 17 0 times, leaving a remainder of 17.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 17 after subtracting 0 from 17.
Bring next digit (4) of the dividend behind the 17 and repeat the process: 174 / 91

Let's proceed to step 3:
91 can be fit into 174 1 times, resulting in a remainder of 83.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtract 91 from 174 to get 83.
Bring next digit (1) of the dividend behind the 83 and repeat the process: 831 / 91

Moving on to step 4:
831 divided by 91 is 9 with a remainder of 12.
The next digit of our result is 9. 
Result so far: 19.0
If we subtract 819 from 831, we get 12.
Fetch the next digit (6) from the dividend, attach it to 12 and continue: 126 / 91

On to step 5:
126 divided by 91 is 1 with a remainder of 35.
The next digit of our result is 1. 
Result so far: 191.0
If we subtract 91 from 126, we get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Let's proceed to step 6:
The number 91 fits into 350 3 times, leaving a remainder of 77.
Put 3 as the next digit of the answer. 
Result so far: 191.3
Deduct 273 from 350 and we're left with 77.
Since there are no more digits in the dividend, we add a zero to the remainder making it 770, and continue the process.

Advancing to step 7:
When dividing 770 by 91, we get 8 with a remainder of 42.
Write down 8 as next digit of the result. 
Result so far: 191.38
Deduct 728 from 770 and we're left with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Moving on to step 8:
420 divided by 91 is 4 with a remainder of 56.
The number 4 becomes the next digit in our result. 
Result so far: 191.384
Subtract 364 from 420 to get 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Advancing to step 9:
91 goes into 560 6 times with a remainder of 14.
Put 6 as the next digit of the answer. 
Result so far: 191.3846
If we subtract 546 from 560, we get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Moving on to step 10:
If we divide 140 by 91, we get 1 and a remainder of 49.
The next digit of our result is 1. 
Result so far: 191.38461
The remainder is 49 after subtracting 91 from 140.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

Let's proceed to step 11:
When dividing 490 by 91, we get 5 with a remainder of 35.
Use 5 as the next digit of our solution. 
Result so far: 191.384615
If we take 455 away from 490, we end up with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Let's proceed to step 12:
350 divided by 91 is 3 with a remainder of 77.
Record the quotient 3 as the next digit in the result. 
Result so far: 191.3846153
Subtract 273 from 350 to get 77.
Since there are no more digits in the dividend, we add a zero to the remainder making it 770, and continue the process.

Let's proceed to step 13:
The number 91 fits into 770 8 times, leaving a remainder of 42.
Record the quotient 8 as the next digit in the result. 
Result so far: 191.38461538
Subtracting 728 from 770 leaves us with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

The quotient of the division is 191.38461538, and the remainder is 4.2e-08.