We're dividing 507355 by 917 
Let's see how many times 917 fits into 507355.

On to step 1:
The number 917 fits into 5 0 times, leaving a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Grab the next digit (0) from the dividend, add it to 5, then carry on: 50 / 917

Step 2:
If we divide 50 by 917, we get 0 and a remainder of 50.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 50 to get 50.
Bring next digit (7) of the dividend behind the 50 and repeat the process: 507 / 917

Advancing to step 3:
507 divided by 917 is 0 with a remainder of 507.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 507 leaves us with 507.
Grab the next digit (3) from the dividend, add it to 507, then carry on: 5073 / 917

Moving on to step 4:
917 goes into 5073 5 times with a remainder of 488.
Use 5 as the next digit of our solution. 
Result so far: 5.0
Deduct 4585 from 5073 and we're left with 488.
Take the next digit (5) from the dividend and append it to 488, then repeat: 4885 / 917

Advancing to step 5:
When dividing 4885 by 917, we get 5 with a remainder of 300.
The next digit of our result is 5. 
Result so far: 55.0
Deduct 4585 from 4885 and we're left with 300.
Bring next digit (5) of the dividend behind the 300 and repeat the process: 3005 / 917

On to step 6:
3005 divided by 917 is 3 with a remainder of 254.
Use 3 as the next digit of our solution. 
Result so far: 553.0
If we subtract 2751 from 3005, we get 254.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2540, and continue the process.

Going ahead to step 7:
If we divide 2540 by 917, we get 2 and a remainder of 706.
Put 2 as the next digit of the answer. 
Result so far: 553.2
Subtract 1834 from 2540 to get 706.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7060, and continue the process.

Step 8:
917 goes into 7060 7 times with a remainder of 641.
Write down 7 as next digit of the result. 
Result so far: 553.27
Subtract 6419 from 7060 to get 641.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6410, and continue the process.

Step 9:
If we divide 6410 by 917, we get 6 and a remainder of 908.
Use 6 as the next digit of our solution. 
Result so far: 553.276
If we subtract 5502 from 6410, we get 908.
Since there are no more digits in the dividend, we add a zero to the remainder making it 9080, and continue the process.

Step 10:
917 goes into 9080 9 times with a remainder of 827.
Put 9 as the next digit of the answer. 
Result so far: 553.2769
Subtracting 8253 from 9080 leaves us with 827.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8270, and continue the process.

Moving on to step 11:
8270 divided by 917 is 9 with a remainder of 17.
The next digit of our result is 9. 
Result so far: 553.27699
The remainder is 17 after subtracting 8253 from 8270.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

The final result is 553.27699 with a remainder of 1.7e-05.