We look at the division of 705378 by 65 
Our goal is to divide 705378 by 65.

Advancing to step 1:
When dividing 7 by 65, we get 0 with a remainder of 7.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 7, we end up with 7.
Take the next digit (0) from the dividend and append it to 7, then repeat: 70 / 65

Step 2:
65 can be fit into 70 1 times, resulting in a remainder of 5.
The next digit of our result is 1. 
Result so far: 1.0
If we subtract 65 from 70, we get 5.
Bring next digit (5) of the dividend behind the 5 and repeat the process: 55 / 65

Let's proceed to step 3:
55 divided by 65 is 0 with a remainder of 55.
The next digit of our result is 0. 
Result so far: 10.0
Subtracting 0 from 55 leaves us with 55.
Append the next digit (3) from the dividend to 55 and continue with: 553 / 65

On to step 4:
553 divided by 65 is 8 with a remainder of 33.
Write down 8 as next digit of the result. 
Result so far: 108.0
Subtracting 520 from 553 leaves us with 33.
Fetch the next digit (7) from the dividend, attach it to 33 and continue: 337 / 65

Let's proceed to step 5:
The number 65 fits into 337 5 times, leaving a remainder of 12.
The next digit of our result is 5. 
Result so far: 1085.0
Subtracting 325 from 337 leaves us with 12.
Fetch the next digit (8) from the dividend, attach it to 12 and continue: 128 / 65

On to step 6:
128 divided by 65 is 1 with a remainder of 63.
Write down 1 as next digit of the result. 
Result so far: 10851.0
If we subtract 65 from 128, we get 63.
Since there are no more digits in the dividend, we add a zero to the remainder making it 630, and continue the process.

Let's proceed to step 7:
If we divide 630 by 65, we get 9 and a remainder of 45.
The next digit of our result is 9. 
Result so far: 10851.9
If we subtract 585 from 630, we get 45.
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:
65 can be fit into 450 6 times, resulting in a remainder of 60.
The number 6 becomes the next digit in our result. 
Result so far: 10851.96
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:
600 divided by 65 is 9 with a remainder of 15.
Put 9 as the next digit of the answer. 
Result so far: 10851.969
Deduct 585 from 600 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.

Step 10:
65 goes into 150 2 times with a remainder of 20.
Put 2 as the next digit of the answer. 
Result so far: 10851.9692
Subtracting 130 from 150 leaves us 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.

Going ahead to step 11:
If we divide 200 by 65, we get 3 and a remainder of 5.
Put 3 as the next digit of the answer. 
Result so far: 10851.96923
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.

Let's proceed to step 12:
50 divided by 65 is 0 with a remainder of 50.
Record the quotient 0 as the next digit in the result. 
Result so far: 10851.96923
Subtracting 0 from 50 leaves us with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Let's proceed to step 13:
The number 65 fits into 500 7 times, leaving a remainder of 45.
Write down 7 as next digit of the result. 
Result so far: 10851.9692307
The remainder is 45 after subtracting 455 from 500.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

On to step 14:
65 can be fit into 450 6 times, resulting in a remainder of 60.
Write down 6 as next digit of the result. 
Result so far: 10851.96923076
Deduct 390 from 450 and we're left with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

The final outcome is 10851.96923076, with a leftover of 6e-08.