113509 divided by 84 
Our goal is to divide 113509 by 84.

On to step 1:
If we divide 1 by 84, we get 0 and a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Take the next digit (1) from the dividend and append it to 1, then repeat: 11 / 84

Going ahead to step 2:
When dividing 11 by 84, we get 0 with a remainder of 11.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 11, we get 11.
Append the next digit (3) from the dividend to 11 and continue with: 113 / 84

Moving on to step 3:
The number 84 fits into 113 1 times, leaving a remainder of 29.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we take 84 away from 113, we end up with 29.
Take the next digit (5) from the dividend and append it to 29, then repeat: 295 / 84

Moving on to step 4:
When dividing 295 by 84, we get 3 with a remainder of 43.
The next digit of our result is 3. 
Result so far: 13.0
If we take 252 away from 295, we end up with 43.
Grab the next digit (0) from the dividend, add it to 43, then carry on: 430 / 84

On to step 5:
84 goes into 430 5 times with a remainder of 10.
Record the quotient 5 as the next digit in the result. 
Result so far: 135.0
Subtracting 420 from 430 leaves us with 10.
Fetch the next digit (9) from the dividend, attach it to 10 and continue: 109 / 84

Step 6:
When dividing 109 by 84, we get 1 with a remainder of 25.
The next digit of our result is 1. 
Result so far: 1351.0
Subtract 84 from 109 to get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Moving on to step 7:
250 divided by 84 is 2 with a remainder of 82.
Use 2 as the next digit of our solution. 
Result so far: 1351.2
If we take 168 away from 250, we end up with 82.
Since there are no more digits in the dividend, we add a zero to the remainder making it 820, and continue the process.

Going ahead to step 8:
84 can be fit into 820 9 times, resulting in a remainder of 64.
The number 9 becomes the next digit in our result. 
Result so far: 1351.29
Deduct 756 from 820 and we're left 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.

On to step 9:
When dividing 640 by 84, we get 7 with a remainder of 52.
Record the quotient 7 as the next digit in the result. 
Result so far: 1351.297
If we take 588 away from 640, we end up 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.

Let's proceed to step 10:
When dividing 520 by 84, we get 6 with a remainder of 16.
Write down 6 as next digit of the result. 
Result so far: 1351.2976
Deduct 504 from 520 and we're left 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.

On to step 11:
If we divide 160 by 84, we get 1 and a remainder of 76.
Put 1 as the next digit of the answer. 
Result so far: 1351.29761
Subtracting 84 from 160 leaves us with 76.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

Advancing to step 12:
84 goes into 760 9 times with a remainder of 4.
The next digit of our result is 9. 
Result so far: 1351.297619
If we subtract 756 from 760, 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.

Step 13:
84 can be fit into 40 0 times, resulting in a remainder of 40.
Write down 0 as next digit of the result. 
Result so far: 1351.297619
If we take 0 away from 40, we end up with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Advancing to step 14:
The number 84 fits into 400 4 times, leaving a remainder of 64.
Write down 4 as next digit of the result. 
Result so far: 1351.29761904
If we subtract 336 from 400, we get 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

The final result is 1351.29761904 with a remainder of 6.4e-08.