677194 divided by 65 
Our goal is to divide 677194 by 65.

Let's proceed to step 1:
When dividing 6 by 65, we get 0 with a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Bring next digit (7) of the dividend behind the 6 and repeat the process: 67 / 65

Let's proceed to step 2:
If we divide 67 by 65, we get 1 and a remainder of 2.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Deduct 65 from 67 and we're left with 2.
Fetch the next digit (7) from the dividend, attach it to 2 and continue: 27 / 65

On to step 3:
65 can be fit into 27 0 times, resulting in a remainder of 27.
Put 0 as the next digit of the answer. 
Result so far: 10.0
If we subtract 0 from 27, we get 27.
Append the next digit (1) from the dividend to 27 and continue with: 271 / 65

Let's proceed to step 4:
271 divided by 65 is 4 with a remainder of 11.
The next digit of our result is 4. 
Result so far: 104.0
The remainder is 11 after subtracting 260 from 271.
Include the next digit (9) from the dividend after 11, then repeat: 119 / 65

On to step 5:
When dividing 119 by 65, we get 1 with a remainder of 54.
Write down 1 as next digit of the result. 
Result so far: 1041.0
Deduct 65 from 119 and we're left with 54.
Append the next digit (4) from the dividend to 54 and continue with: 544 / 65

Let's proceed to step 6:
65 can be fit into 544 8 times, resulting in a remainder of 24.
Write down 8 as next digit of the result. 
Result so far: 10418.0
If we take 520 away from 544, we end up with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Let's proceed to step 7:
When dividing 240 by 65, we get 3 with a remainder of 45.
Record the quotient 3 as the next digit in the result. 
Result so far: 10418.3
The remainder is 45 after subtracting 195 from 240.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Advancing to step 8:
450 divided by 65 is 6 with a remainder of 60.
Write down 6 as next digit of the result. 
Result so far: 10418.36
If we subtract 390 from 450, we get 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

On to step 9:
If we divide 600 by 65, we get 9 and a remainder of 15.
Record the quotient 9 as the next digit in the result. 
Result so far: 10418.369
Subtract 585 from 600 to get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Moving on to step 10:
150 divided by 65 is 2 with a remainder of 20.
Record the quotient 2 as the next digit in the result. 
Result so far: 10418.3692
Deduct 130 from 150 and we're left 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.

Advancing to step 11:
65 can be fit into 200 3 times, resulting in a remainder of 5.
Put 3 as the next digit of the answer. 
Result so far: 10418.36923
Subtracting 195 from 200 leaves us 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 12:
The number 65 fits into 50 0 times, leaving a remainder of 50.
Write down 0 as next digit of the result. 
Result so far: 10418.36923
The remainder is 50 after subtracting 0 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Going ahead to step 13:
65 goes into 500 7 times with a remainder of 45.
Record the quotient 7 as the next digit in the result. 
Result so far: 10418.3692307
Deduct 455 from 500 and we're left with 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Going ahead to step 14:
If we divide 450 by 65, we get 6 and a remainder of 60.
Record the quotient 6 as the next digit in the result. 
Result so far: 10418.36923076
The remainder is 60 after subtracting 390 from 450.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Our division results in 10418.36923076 with a remaining 6e-08.