Let's divide 677784 by 35
Our goal is to divide 677784 by 35.

On to step 1:
6 divided by 35 is 0 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.
Take the next digit (7) from the dividend and append it to 6, then repeat: 67 / 35

Going ahead to step 2:
35 can be fit into 67 1 times, resulting in a remainder of 32.
The next digit of our result is 1. 
Result so far: 1.0
Subtract 35 from 67 to get 32.
Append the next digit (7) from the dividend to 32 and continue with: 327 / 35

Going ahead to step 3:
35 can be fit into 327 9 times, resulting in a remainder of 12.
Write down 9 as next digit of the result. 
Result so far: 19.0
Subtract 315 from 327 to get 12.
Append the next digit (7) from the dividend to 12 and continue with: 127 / 35

On to step 4:
35 can be fit into 127 3 times, resulting in a remainder of 22.
Use 3 as the next digit of our solution. 
Result so far: 193.0
The remainder is 22 after subtracting 105 from 127.
Grab the next digit (8) from the dividend, add it to 22, then carry on: 228 / 35

Going ahead to step 5:
228 divided by 35 is 6 with a remainder of 18.
The number 6 becomes the next digit in our result. 
Result so far: 1936.0
Subtracting 210 from 228 leaves us with 18.
Take the next digit (4) from the dividend and append it to 18, then repeat: 184 / 35

Let's proceed to step 6:
184 divided by 35 is 5 with a remainder of 9.
Put 5 as the next digit of the answer. 
Result so far: 19365.0
If we take 175 away from 184, we end up with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Moving on to step 7:
90 divided by 35 is 2 with a remainder of 20.
Write down 2 as next digit of the result. 
Result so far: 19365.2
If we take 70 away from 90, we end up with 20.
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 8:
When dividing 200 by 35, we get 5 with a remainder of 25.
The next digit of our result is 5. 
Result so far: 19365.25
The remainder is 25 after subtracting 175 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Let's proceed to step 9:
If we divide 250 by 35, we get 7 and a remainder of 5.
Record the quotient 7 as the next digit in the result. 
Result so far: 19365.257
If we take 245 away from 250, we end up 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 10:
The number 35 fits into 50 1 times, leaving a remainder of 15.
The next digit of our result is 1. 
Result so far: 19365.2571
Deduct 35 from 50 and we're left with 15.
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 11:
35 can be fit into 150 4 times, resulting in a remainder of 10.
Put 4 as the next digit of the answer. 
Result so far: 19365.25714
If we subtract 140 from 150, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 12:
35 goes into 100 2 times with a remainder of 30.
Record the quotient 2 as the next digit in the result. 
Result so far: 19365.257142
The remainder is 30 after subtracting 70 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

On to step 13:
300 divided by 35 is 8 with a remainder of 20.
The next digit of our result is 8. 
Result so far: 19365.2571428
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.

Step 14:
35 goes into 200 5 times with a remainder of 25.
Record the quotient 5 as the next digit in the result. 
Result so far: 19365.25714285
Deduct 175 from 200 and we're left 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.

After the division, we end up with 19365.25714285 and a remainder of 2.5e-08.