100203 ÷ 91 
We want to divide 100203 by 91.

Going ahead to 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
Subtract 0 from 1 to get 1.
Include the next digit (0) from the dividend after 1, then repeat: 10 / 91

Advancing to step 2:
The number 91 fits into 10 0 times, leaving a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 10 to get 10.
Include the next digit (0) from the dividend after 10, then repeat: 100 / 91

Advancing to step 3:
91 goes into 100 1 times with a remainder of 9.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtracting 91 from 100 leaves us with 9.
Include the next digit (2) from the dividend after 9, then repeat: 92 / 91

Going ahead to step 4:
If we divide 92 by 91, we get 1 and a remainder of 1.
The number 1 becomes the next digit in our result. 
Result so far: 11.0
Subtracting 91 from 92 leaves us with 1.
Grab the next digit (0) from the dividend, add it to 1, then carry on: 10 / 91

On to step 5:
If we divide 10 by 91, we get 0 and a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 110.0
Deduct 0 from 10 and we're left with 10.
Include the next digit (3) from the dividend after 10, then repeat: 103 / 91

Step 6:
If we divide 103 by 91, we get 1 and a remainder of 12.
The next digit of our result is 1. 
Result so far: 1101.0
Subtracting 91 from 103 leaves us 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.

Going ahead to step 7:
91 goes into 120 1 times with a remainder of 29.
Record the quotient 1 as the next digit in the result. 
Result so far: 1101.1
If we take 91 away from 120, we end up 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 8:
The number 91 fits into 290 3 times, leaving a remainder of 17.
Record the quotient 3 as the next digit in the result. 
Result so far: 1101.13
If we take 273 away from 290, we end up 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 9:
If we divide 170 by 91, we get 1 and a remainder of 79.
The next digit of our result is 1. 
Result so far: 1101.131
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.

Let's proceed to step 10:
91 goes into 790 8 times with a remainder of 62.
Put 8 as the next digit of the answer. 
Result so far: 1101.1318
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.

Step 11:
When dividing 620 by 91, we get 6 with a remainder of 74.
Record the quotient 6 as the next digit in the result. 
Result so far: 1101.13186
Subtract 546 from 620 to 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.

Moving on to step 12:
The number 91 fits into 740 8 times, leaving a remainder of 12.
Put 8 as the next digit of the answer. 
Result so far: 1101.131868
The remainder is 12 after subtracting 728 from 740.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Advancing to step 13:
120 divided by 91 is 1 with a remainder of 29.
The number 1 becomes the next digit in our result. 
Result so far: 1101.1318681
If we subtract 91 from 120, we get 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Advancing to step 14:
When dividing 290 by 91, we get 3 with a remainder of 17.
Record the quotient 3 as the next digit in the result. 
Result so far: 1101.13186813
Deduct 273 from 290 and we're left 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.

Our division results in 1101.13186813 with a remaining 1.7e-08.