677868 ÷ 34 
We're looking to find how many times 34 goes into 677868.

Moving on to step 1:
When dividing 6 by 34, we get 0 with a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Include the next digit (7) from the dividend after 6, then repeat: 67 / 34

Let's proceed to step 2:
67 divided by 34 is 1 with a remainder of 33.
The next digit of our result is 1. 
Result so far: 1.0
Subtract 34 from 67 to get 33.
Grab the next digit (7) from the dividend, add it to 33, then carry on: 337 / 34

Let's proceed to step 3:
If we divide 337 by 34, we get 9 and 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 (8) from the dividend after 31, then repeat: 318 / 34

Step 4:
34 goes into 318 9 times with a remainder of 12.
The number 9 becomes the next digit in our result. 
Result so far: 199.0
If we take 306 away from 318, we end up with 12.
Include the next digit (6) from the dividend after 12, then repeat: 126 / 34

Going ahead to step 5:
When dividing 126 by 34, we get 3 with a remainder of 24.
Use 3 as the next digit of our solution. 
Result so far: 1993.0
If we take 102 away from 126, we end up with 24.
Grab the next digit (8) from the dividend, add it to 24, then carry on: 248 / 34

Let's proceed to step 6:
The number 34 fits into 248 7 times, leaving a remainder of 10.
Use 7 as the next digit of our solution. 
Result so far: 19937.0
If we take 238 away from 248, we end up 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.

Moving on to step 7:
34 goes into 100 2 times with a remainder of 32.
Use 2 as the next digit of our solution. 
Result so far: 19937.2
Subtract 68 from 100 to get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Let's proceed to step 8:
The number 34 fits into 320 9 times, leaving a remainder of 14.
Put 9 as the next digit of the answer. 
Result so far: 19937.29
If we take 306 away from 320, we end up 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.

Step 9:
34 goes into 140 4 times with a remainder of 4.
Record the quotient 4 as the next digit in the result. 
Result so far: 19937.294
The remainder is 4 after subtracting 136 from 140.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 10:
34 goes into 40 1 times with a remainder of 6.
Record the quotient 1 as the next digit in the result. 
Result so far: 19937.2941
Deduct 34 from 40 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 11:
The number 34 fits into 60 1 times, leaving a remainder of 26.
Use 1 as the next digit of our solution. 
Result so far: 19937.29411
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.

In conclusion, the division gives 19937.29411 with a balance of 2.6e-05.