31503 divided by 42 
We want to figure out the number of times 31503 can be divided by 42.

Let's proceed to step 1:
If we divide 3 by 42, we get 0 and a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Grab the next digit (1) from the dividend, add it to 3, then carry on: 31 / 42

Advancing to step 2:
If we divide 31 by 42, we get 0 and a remainder of 31.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 31 to get 31.
Grab the next digit (5) from the dividend, add it to 31, then carry on: 315 / 42

Step 3:
42 can be fit into 315 7 times, resulting in a remainder of 21.
Record the quotient 7 as the next digit in the result. 
Result so far: 7.0
If we take 294 away from 315, we end up with 21.
Take the next digit (0) from the dividend and append it to 21, then repeat: 210 / 42

Advancing to step 4:
The number 42 fits into 210 5 times, leaving a remainder of 0.
Put 5 as the next digit of the answer. 
Result so far: 75.0
If we subtract 210 from 210, we get 0.
Append the next digit (3) from the dividend to 0 and continue with: 3 / 42

On to step 5:
42 goes into 3 0 times with a remainder of 3.
The next digit of our result is 0. 
Result so far: 750.0
The remainder is 3 after subtracting 0 from 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

On to step 6:
42 can be fit into 30 0 times, resulting in a remainder of 30.
Use 0 as the next digit of our solution. 
Result so far: 750.0
If we subtract 0 from 30, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Advancing to step 7:
If we divide 300 by 42, we get 7 and a remainder of 6.
Use 7 as the next digit of our solution. 
Result so far: 750.07
Subtracting 294 from 300 leaves us with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

On to step 8:
42 can be fit into 60 1 times, resulting in a remainder of 18.
The next digit of our result is 1. 
Result so far: 750.071
Subtract 42 from 60 to get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Step 9:
If we divide 180 by 42, we get 4 and a remainder of 12.
Use 4 as the next digit of our solution. 
Result so far: 750.0714
Subtract 168 from 180 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Step 10:
42 goes into 120 2 times with a remainder of 36.
Record the quotient 2 as the next digit in the result. 
Result so far: 750.07142
Subtract 84 from 120 to get 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Let's proceed to step 11:
42 goes into 360 8 times with a remainder of 24.
The next digit of our result is 8. 
Result so far: 750.071428
The remainder is 24 after subtracting 336 from 360.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

On to step 12:
If we divide 240 by 42, we get 5 and a remainder of 30.
The number 5 becomes the next digit in our result. 
Result so far: 750.0714285
If we subtract 210 from 240, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Going ahead to step 13:
300 divided by 42 is 7 with a remainder of 6.
Put 7 as the next digit of the answer. 
Result so far: 750.07142857
If we subtract 294 from 300, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

In conclusion, the division gives 750.07142857 with a balance of 6e-09.