109903 ÷ 26 
We're looking to find how many times 26 goes into 109903.

On to step 1:
If we divide 1 by 26, we get 0 and a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Grab the next digit (0) from the dividend, add it to 1, then carry on: 10 / 26

On to step 2:
10 divided by 26 is 0 with a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 10 and we're left with 10.
Include the next digit (9) from the dividend after 10, then repeat: 109 / 26

On to step 3:
109 divided by 26 is 4 with a remainder of 5.
Use 4 as the next digit of our solution. 
Result so far: 4.0
If we take 104 away from 109, we end up with 5.
Append the next digit (9) from the dividend to 5 and continue with: 59 / 26

Advancing to step 4:
The number 26 fits into 59 2 times, leaving a remainder of 7.
Use 2 as the next digit of our solution. 
Result so far: 42.0
The remainder is 7 after subtracting 52 from 59.
Bring next digit (0) of the dividend behind the 7 and repeat the process: 70 / 26

On to step 5:
26 can be fit into 70 2 times, resulting in a remainder of 18.
The next digit of our result is 2. 
Result so far: 422.0
If we take 52 away from 70, we end up with 18.
Take the next digit (3) from the dividend and append it to 18, then repeat: 183 / 26

Step 6:
When dividing 183 by 26, we get 7 with a remainder of 1.
The next digit of our result is 7. 
Result so far: 4227.0
If we take 182 away from 183, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 7:
26 goes into 10 0 times with a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 4227.0
Subtract 0 from 10 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 8:
The number 26 fits into 100 3 times, leaving a remainder of 22.
Put 3 as the next digit of the answer. 
Result so far: 4227.03
If we take 78 away from 100, we end up with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Step 9:
If we divide 220 by 26, we get 8 and a remainder of 12.
Record the quotient 8 as the next digit in the result. 
Result so far: 4227.038
If we take 208 away from 220, we end up 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 10:
If we divide 120 by 26, we get 4 and a remainder of 16.
Use 4 as the next digit of our solution. 
Result so far: 4227.0384
The remainder is 16 after subtracting 104 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Going ahead to step 11:
When dividing 160 by 26, we get 6 with a remainder of 4.
Write down 6 as next digit of the result. 
Result so far: 4227.03846
The remainder is 4 after subtracting 156 from 160.
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 12:
The number 26 fits into 40 1 times, leaving a remainder of 14.
The next digit of our result is 1. 
Result so far: 4227.038461
If we take 26 away from 40, we end up with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Step 13:
When dividing 140 by 26, we get 5 with a remainder of 10.
Put 5 as the next digit of the answer. 
Result so far: 4227.0384615
Subtract 130 from 140 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 14:
26 goes into 100 3 times with a remainder of 22.
Record the quotient 3 as the next digit in the result. 
Result so far: 4227.03846153
The remainder is 22 after subtracting 78 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

After the division, we end up with 4227.03846153 and a remainder of 2.2e-08.