678214 ÷ 35 
Our goal is to divide 678214 by 35.

Step 1:
When dividing 6 by 35, we get 0 with a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Append the next digit (7) from the dividend to 6 and continue with: 67 / 35

Going ahead to step 2:
35 goes into 67 1 times with a remainder of 32.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we take 35 away from 67, we end up with 32.
Bring next digit (8) of the dividend behind the 32 and repeat the process: 328 / 35

Step 3:
328 divided by 35 is 9 with a remainder of 13.
Write down 9 as next digit of the result. 
Result so far: 19.0
Subtracting 315 from 328 leaves us with 13.
Grab the next digit (2) from the dividend, add it to 13, then carry on: 132 / 35

Step 4:
35 goes into 132 3 times with a remainder of 27.
Use 3 as the next digit of our solution. 
Result so far: 193.0
If we subtract 105 from 132, we get 27.
Grab the next digit (1) from the dividend, add it to 27, then carry on: 271 / 35

On to step 5:
If we divide 271 by 35, we get 7 and a remainder of 26.
Use 7 as the next digit of our solution. 
Result so far: 1937.0
The remainder is 26 after subtracting 245 from 271.
Append the next digit (4) from the dividend to 26 and continue with: 264 / 35

Moving on to step 6:
When dividing 264 by 35, we get 7 with a remainder of 19.
Write down 7 as next digit of the result. 
Result so far: 19377.0
Subtracting 245 from 264 leaves us with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Advancing to step 7:
35 goes into 190 5 times with a remainder of 15.
Use 5 as the next digit of our solution. 
Result so far: 19377.5
The remainder is 15 after subtracting 175 from 190.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Step 8:
35 can be fit into 150 4 times, resulting in a remainder of 10.
The next digit of our result is 4. 
Result so far: 19377.54
Deduct 140 from 150 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:
The number 35 fits into 100 2 times, leaving a remainder of 30.
The next digit of our result is 2. 
Result so far: 19377.542
Deduct 70 from 100 and we're left with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Advancing to step 10:
300 divided by 35 is 8 with a remainder of 20.
Write down 8 as next digit of the result. 
Result so far: 19377.5428
The remainder is 20 after subtracting 280 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

On to step 11:
When dividing 200 by 35, we get 5 with a remainder of 25.
The next digit of our result is 5. 
Result so far: 19377.54285
Subtracting 175 from 200 leaves us with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Moving on to step 12:
If we divide 250 by 35, we get 7 and a remainder of 5.
Write down 7 as next digit of the result. 
Result so far: 19377.542857
Deduct 245 from 250 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 13:
35 goes into 50 1 times with a remainder of 15.
The number 1 becomes the next digit in our result. 
Result so far: 19377.5428571
The remainder is 15 after subtracting 35 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

On to step 14:
If we divide 150 by 35, we get 4 and a remainder of 10.
Use 4 as the next digit of our solution. 
Result so far: 19377.54285714
If we take 140 away from 150, 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.

In conclusion, the division gives 19377.54285714 with a balance of 1e-08.