We look at the division of 677037 by 34 
We're looking to find how many times 34 goes into 677037.

Advancing to step 1:
34 goes into 6 0 times with a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Bring next digit (7) of the dividend behind the 6 and repeat the process: 67 / 34

Advancing to step 2:
34 can be fit into 67 1 times, resulting in a remainder of 33.
The next digit of our result is 1. 
Result so far: 1.0
If we take 34 away from 67, we end up with 33.
Take the next digit (7) from the dividend and append it to 33, then repeat: 337 / 34

On to step 3:
The number 34 fits into 337 9 times, leaving a remainder of 31.
The number 9 becomes the next digit in our result. 
Result so far: 19.0
The remainder is 31 after subtracting 306 from 337.
Include the next digit (0) from the dividend after 31, then repeat: 310 / 34

Step 4:
If we divide 310 by 34, we get 9 and a remainder of 4.
Write down 9 as next digit of the result. 
Result so far: 199.0
The remainder is 4 after subtracting 306 from 310.
Include the next digit (3) from the dividend after 4, then repeat: 43 / 34

Advancing to step 5:
34 goes into 43 1 times with a remainder of 9.
The number 1 becomes the next digit in our result. 
Result so far: 1991.0
Subtract 34 from 43 to get 9.
Include the next digit (7) from the dividend after 9, then repeat: 97 / 34

Moving on to step 6:
The number 34 fits into 97 2 times, leaving a remainder of 29.
Use 2 as the next digit of our solution. 
Result so far: 19912.0
Subtracting 68 from 97 leaves us with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Step 7:
The number 34 fits into 290 8 times, leaving a remainder of 18.
Record the quotient 8 as the next digit in the result. 
Result so far: 19912.8
Subtracting 272 from 290 leaves us with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Moving on to step 8:
34 can be fit into 180 5 times, resulting in a remainder of 10.
Record the quotient 5 as the next digit in the result. 
Result so far: 19912.85
Deduct 170 from 180 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 9:
34 goes into 100 2 times with a remainder of 32.
Use 2 as the next digit of our solution. 
Result so far: 19912.852
The remainder is 32 after subtracting 68 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Advancing to step 10:
320 divided by 34 is 9 with a remainder of 14.
Record the quotient 9 as the next digit in the result. 
Result so far: 19912.8529
Subtracting 306 from 320 leaves us with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Let's proceed to step 11:
If we divide 140 by 34, we get 4 and a remainder of 4.
Record the quotient 4 as the next digit in the result. 
Result so far: 19912.85294
Deduct 136 from 140 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 12:
When dividing 40 by 34, we get 1 with a remainder of 6.
The next digit of our result is 1. 
Result so far: 19912.852941
If we subtract 34 from 40, 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.

Let's proceed to step 13:
When dividing 60 by 34, we get 1 with a remainder of 26.
Write down 1 as next digit of the result. 
Result so far: 19912.8529411
Subtracting 34 from 60 leaves us with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

After the division, we end up with 19912.8529411 and a remainder of 2.6e-07.