We look at the division of 17310588 by 423 
We want to divide 17310588 by 423.

On to step 1:
If we divide 1 by 423, we get 0 and a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Append the next digit (7) from the dividend to 1 and continue with: 17 / 423

Moving on to step 2:
423 goes into 17 0 times with a remainder of 17.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 17, we get 17.
Fetch the next digit (3) from the dividend, attach it to 17 and continue: 173 / 423

On to step 3:
173 divided by 423 is 0 with a remainder of 173.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 173 and we're left with 173.
Bring next digit (1) of the dividend behind the 173 and repeat the process: 1731 / 423

Going ahead to step 4:
The number 423 fits into 1731 4 times, leaving a remainder of 39.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
If we take 1692 away from 1731, we end up with 39.
Take the next digit (0) from the dividend and append it to 39, then repeat: 390 / 423

Going ahead to step 5:
When dividing 390 by 423, we get 0 with a remainder of 390.
The next digit of our result is 0. 
Result so far: 40.0
If we subtract 0 from 390, we get 390.
Include the next digit (5) from the dividend after 390, then repeat: 3905 / 423

Moving on to step 6:
423 goes into 3905 9 times with a remainder of 98.
Record the quotient 9 as the next digit in the result. 
Result so far: 409.0
The remainder is 98 after subtracting 3807 from 3905.
Fetch the next digit (8) from the dividend, attach it to 98 and continue: 988 / 423

Step 7:
If we divide 988 by 423, we get 2 and a remainder of 142.
Record the quotient 2 as the next digit in the result. 
Result so far: 4092.0
Subtract 846 from 988 to get 142.
Append the next digit (8) from the dividend to 142 and continue with: 1428 / 423

Step 8:
423 goes into 1428 3 times with a remainder of 159.
Record the quotient 3 as the next digit in the result. 
Result so far: 40923.0
If we subtract 1269 from 1428, we get 159.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1590, and continue the process.

Moving on to step 9:
The number 423 fits into 1590 3 times, leaving a remainder of 321.
Use 3 as the next digit of our solution. 
Result so far: 40923.3
The remainder is 321 after subtracting 1269 from 1590.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3210, and continue the process.

On to step 10:
If we divide 3210 by 423, we get 7 and a remainder of 249.
Record the quotient 7 as the next digit in the result. 
Result so far: 40923.37
Deduct 2961 from 3210 and we're left with 249.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2490, and continue the process.

Let's proceed to step 11:
2490 divided by 423 is 5 with a remainder of 375.
Write down 5 as next digit of the result. 
Result so far: 40923.375
Subtracting 2115 from 2490 leaves us with 375.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3750, and continue the process.

Let's proceed to step 12:
423 goes into 3750 8 times with a remainder of 366.
Write down 8 as next digit of the result. 
Result so far: 40923.3758
Subtracting 3384 from 3750 leaves us with 366.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3660, and continue the process.

Step 13:
423 goes into 3660 8 times with a remainder of 276.
The number 8 becomes the next digit in our result. 
Result so far: 40923.37588
If we subtract 3384 from 3660, we get 276.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2760, and continue the process.

The quotient of the division is 40923.37588, and the remainder is 0.000276.