1742587 divided by 903 
Our goal is to divide 1742587 by 903.

Let's proceed to step 1:
When dividing 1 by 903, we get 0 with a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Bring next digit (7) of the dividend behind the 1 and repeat the process: 17 / 903

Let's proceed to step 2:
903 can be fit into 17 0 times, resulting in a remainder of 17.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 17, we end up with 17.
Grab the next digit (4) from the dividend, add it to 17, then carry on: 174 / 903

Step 3:
When dividing 174 by 903, we get 0 with a remainder of 174.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 174 and we're left with 174.
Include the next digit (2) from the dividend after 174, then repeat: 1742 / 903

Moving on to step 4:
1742 divided by 903 is 1 with a remainder of 839.
Use 1 as the next digit of our solution. 
Result so far: 1.0
The remainder is 839 after subtracting 903 from 1742.
Grab the next digit (5) from the dividend, add it to 839, then carry on: 8395 / 903

Let's proceed to step 5:
8395 divided by 903 is 9 with a remainder of 268.
The next digit of our result is 9. 
Result so far: 19.0
The remainder is 268 after subtracting 8127 from 8395.
Append the next digit (8) from the dividend to 268 and continue with: 2688 / 903

Moving on to step 6:
When dividing 2688 by 903, we get 2 with a remainder of 882.
Put 2 as the next digit of the answer. 
Result so far: 192.0
If we take 1806 away from 2688, we end up with 882.
Bring next digit (7) of the dividend behind the 882 and repeat the process: 8827 / 903

Step 7:
903 goes into 8827 9 times with a remainder of 700.
Use 9 as the next digit of our solution. 
Result so far: 1929.0
If we subtract 8127 from 8827, we get 700.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7000, and continue the process.

On to step 8:
When dividing 7000 by 903, we get 7 with a remainder of 679.
The number 7 becomes the next digit in our result. 
Result so far: 1929.7
Subtracting 6321 from 7000 leaves us with 679.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6790, and continue the process.

On to step 9:
6790 divided by 903 is 7 with a remainder of 469.
The next digit of our result is 7. 
Result so far: 1929.77
If we take 6321 away from 6790, we end up with 469.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4690, and continue the process.

Our division results in 1929.77 with a remaining 0.469.