We look at the division of 108503 by 42 
We're looking to find how many times 42 goes into 108503.

Going ahead to step 1:
The number 42 fits into 1 0 times, leaving a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Include the next digit (0) from the dividend after 1, then repeat: 10 / 42

Advancing to step 2:
When dividing 10 by 42, we get 0 with a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 10, we get 10.
Append the next digit (8) from the dividend to 10 and continue with: 108 / 42

On to step 3:
When dividing 108 by 42, we get 2 with a remainder of 24.
Use 2 as the next digit of our solution. 
Result so far: 2.0
The remainder is 24 after subtracting 84 from 108.
Append the next digit (5) from the dividend to 24 and continue with: 245 / 42

On to step 4:
42 goes into 245 5 times with a remainder of 35.
Write down 5 as next digit of the result. 
Result so far: 25.0
If we take 210 away from 245, we end up with 35.
Take the next digit (0) from the dividend and append it to 35, then repeat: 350 / 42

Step 5:
42 can be fit into 350 8 times, resulting in a remainder of 14.
Use 8 as the next digit of our solution. 
Result so far: 258.0
Deduct 336 from 350 and we're left with 14.
Take the next digit (3) from the dividend and append it to 14, then repeat: 143 / 42

Advancing to step 6:
If we divide 143 by 42, we get 3 and a remainder of 17.
The number 3 becomes the next digit in our result. 
Result so far: 2583.0
Subtracting 126 from 143 leaves us 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.

Moving on to step 7:
The number 42 fits into 170 4 times, leaving a remainder of 2.
The next digit of our result is 4. 
Result so far: 2583.4
Deduct 168 from 170 and we're left 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.

On to step 8:
42 goes into 20 0 times with a remainder of 20.
Use 0 as the next digit of our solution. 
Result so far: 2583.4
Subtract 0 from 20 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 9:
The number 42 fits into 200 4 times, leaving a remainder of 32.
The number 4 becomes the next digit in our result. 
Result so far: 2583.404
Deduct 168 from 200 and we're left with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Let's proceed to step 10:
If we divide 320 by 42, we get 7 and a remainder of 26.
Put 7 as the next digit of the answer. 
Result so far: 2583.4047
Subtracting 294 from 320 leaves us with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Advancing to step 11:
42 goes into 260 6 times with a remainder of 8.
Put 6 as the next digit of the answer. 
Result so far: 2583.40476
If we take 252 away from 260, we end up 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.

Advancing to step 12:
42 can be fit into 80 1 times, resulting in a remainder of 38.
Record the quotient 1 as the next digit in the result. 
Result so far: 2583.404761
If we subtract 42 from 80, we get 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Step 13:
The number 42 fits into 380 9 times, leaving a remainder of 2.
Put 9 as the next digit of the answer. 
Result so far: 2583.4047619
Subtract 378 from 380 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 14:
When dividing 20 by 42, we get 0 with a remainder of 20.
Record the quotient 0 as the next digit in the result. 
Result so far: 2583.4047619
Deduct 0 from 20 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

The final result is 2583.4047619 with a remainder of 2e-08.