We're dividing 113613 by 16 
Our goal is to divide 113613 by 16.

Going ahead to step 1:
When dividing 1 by 16, we get 0 with a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Include the next digit (1) from the dividend after 1, then repeat: 11 / 16

Step 2:
If we divide 11 by 16, we get 0 and a remainder of 11.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 11 and we're left with 11.
Fetch the next digit (3) from the dividend, attach it to 11 and continue: 113 / 16

Going ahead to step 3:
The number 16 fits into 113 7 times, leaving a remainder of 1.
The number 7 becomes the next digit in our result. 
Result so far: 7.0
Subtracting 112 from 113 leaves us with 1.
Grab the next digit (6) from the dividend, add it to 1, then carry on: 16 / 16

Let's proceed to step 4:
The number 16 fits into 16 1 times, leaving a remainder of 0.
The next digit of our result is 1. 
Result so far: 71.0
Deduct 16 from 16 and we're left with 0.
Take the next digit (1) from the dividend and append it to 0, then repeat: 1 / 16

Going ahead to step 5:
The number 16 fits into 1 0 times, leaving a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 710.0
Subtract 0 from 1 to get 1.
Fetch the next digit (3) from the dividend, attach it to 1 and continue: 13 / 16

Moving on to step 6:
13 divided by 16 is 0 with a remainder of 13.
Record the quotient 0 as the next digit in the result. 
Result so far: 7100.0
Deduct 0 from 13 and we're left with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Step 7:
If we divide 130 by 16, we get 8 and a remainder of 2.
Put 8 as the next digit of the answer. 
Result so far: 7100.8
Subtracting 128 from 130 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 8:
The number 16 fits into 20 1 times, leaving a remainder of 4.
Use 1 as the next digit of our solution. 
Result so far: 7100.81
If we subtract 16 from 20, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 9:
16 can be fit into 40 2 times, resulting in a remainder of 8.
Put 2 as the next digit of the answer. 
Result so far: 7100.812
Subtracting 32 from 40 leaves us 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.

Let's proceed to step 10:
16 can be fit into 80 5 times, resulting in a remainder of 0.
The next digit of our result is 5. 
Result so far: 7100.8125
Subtracting 80 from 80 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Advancing to step 11:
0 divided by 16 is 0 with a remainder of 0.
The next digit of our result is 0. 
Result so far: 7100.8125
If we take 0 away from 0, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Let's proceed to step 12:
When dividing 0 by 16, we get 0 with a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 7100.8125
Subtracting 0 from 0 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The quotient of the division is 7100.8125, and the remainder is 0.0.