113803 ÷ 89 
We want to figure out the number of times 113803 can be divided by 89.

On to step 1:
1 divided by 89 is 0 with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Grab the next digit (1) from the dividend, add it to 1, then carry on: 11 / 89

On to step 2:
89 can be fit into 11 0 times, resulting in a remainder of 11.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 11 and we're left with 11.
Take the next digit (3) from the dividend and append it to 11, then repeat: 113 / 89

Going ahead to step 3:
When dividing 113 by 89, we get 1 with a remainder of 24.
The next digit of our result is 1. 
Result so far: 1.0
Deduct 89 from 113 and we're left with 24.
Take the next digit (8) from the dividend and append it to 24, then repeat: 248 / 89

On to step 4:
The number 89 fits into 248 2 times, leaving a remainder of 70.
Write down 2 as next digit of the result. 
Result so far: 12.0
Deduct 178 from 248 and we're left with 70.
Take the next digit (0) from the dividend and append it to 70, then repeat: 700 / 89

Step 5:
700 divided by 89 is 7 with a remainder of 77.
Record the quotient 7 as the next digit in the result. 
Result so far: 127.0
If we subtract 623 from 700, we get 77.
Include the next digit (3) from the dividend after 77, then repeat: 773 / 89

Step 6:
89 can be fit into 773 8 times, resulting in a remainder of 61.
Put 8 as the next digit of the answer. 
Result so far: 1278.0
If we take 712 away from 773, we end up with 61.
Since there are no more digits in the dividend, we add a zero to the remainder making it 610, and continue the process.

Let's proceed to step 7:
89 can be fit into 610 6 times, resulting in a remainder of 76.
Use 6 as the next digit of our solution. 
Result so far: 1278.6
The remainder is 76 after subtracting 534 from 610.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

Going ahead to step 8:
If we divide 760 by 89, we get 8 and a remainder of 48.
The number 8 becomes the next digit in our result. 
Result so far: 1278.68
Subtracting 712 from 760 leaves us with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Moving on to step 9:
89 goes into 480 5 times with a remainder of 35.
Use 5 as the next digit of our solution. 
Result so far: 1278.685
Subtracting 445 from 480 leaves us 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.

On to step 10:
The number 89 fits into 350 3 times, leaving a remainder of 83.
Put 3 as the next digit of the answer. 
Result so far: 1278.6853
Subtract 267 from 350 to get 83.
Since there are no more digits in the dividend, we add a zero to the remainder making it 830, and continue the process.

Advancing to step 11:
830 divided by 89 is 9 with a remainder of 29.
Write down 9 as next digit of the result. 
Result so far: 1278.68539
The remainder is 29 after subtracting 801 from 830.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

On to step 12:
When dividing 290 by 89, we get 3 with a remainder of 23.
The next digit of our result is 3. 
Result so far: 1278.685393
Subtracting 267 from 290 leaves us with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Step 13:
89 goes into 230 2 times with a remainder of 52.
Use 2 as the next digit of our solution. 
Result so far: 1278.6853932
Subtract 178 from 230 to get 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 14:
89 can be fit into 520 5 times, resulting in a remainder of 75.
The next digit of our result is 5. 
Result so far: 1278.68539325
Subtracting 445 from 520 leaves us with 75.
Since there are no more digits in the dividend, we add a zero to the remainder making it 750, and continue the process.

In conclusion, the division gives 1278.68539325 with a balance of 7.5e-08.