507637 divided by 34 
Our goal is to divide 507637 by 34.

Going ahead to step 1:
34 goes into 5 0 times with a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Include the next digit (0) from the dividend after 5, then repeat: 50 / 34

Step 2:
34 goes into 50 1 times with a remainder of 16.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Deduct 34 from 50 and we're left with 16.
Bring next digit (7) of the dividend behind the 16 and repeat the process: 167 / 34

On to step 3:
34 can be fit into 167 4 times, resulting in a remainder of 31.
The number 4 becomes the next digit in our result. 
Result so far: 14.0
If we take 136 away from 167, we end up with 31.
Include the next digit (6) from the dividend after 31, then repeat: 316 / 34

Step 4:
When dividing 316 by 34, we get 9 with a remainder of 10.
The next digit of our result is 9. 
Result so far: 149.0
If we subtract 306 from 316, we get 10.
Bring next digit (3) of the dividend behind the 10 and repeat the process: 103 / 34

Let's proceed to step 5:
If we divide 103 by 34, we get 3 and a remainder of 1.
Put 3 as the next digit of the answer. 
Result so far: 1493.0
Deduct 102 from 103 and we're left with 1.
Grab the next digit (7) from the dividend, add it to 1, then carry on: 17 / 34

On to step 6:
34 goes into 17 0 times with a remainder of 17.
The next digit of our result is 0. 
Result so far: 14930.0
Deduct 0 from 17 and we're left 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.

Going ahead to step 7:
34 can be fit into 170 5 times, resulting in a remainder of 0.
The next digit of our result is 5. 
Result so far: 14930.5
Deduct 170 from 170 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Let's proceed to step 8:
The number 34 fits into 0 0 times, leaving a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 14930.5
The remainder is 0 after subtracting 0 from 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Going ahead to step 9:
If we divide 0 by 34, we get 0 and a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 14930.5
Subtract 0 from 0 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The quotient of the division is 14930.5, and the remainder is 0.0.