We're dividing 705436 by 65 
Our goal is to divide 705436 by 65.

Step 1:
If we divide 7 by 65, we get 0 and a remainder of 7.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 7 after subtracting 0 from 7.
Fetch the next digit (0) from the dividend, attach it to 7 and continue: 70 / 65

Going ahead to step 2:
If we divide 70 by 65, we get 1 and a remainder of 5.
The next digit of our result is 1. 
Result so far: 1.0
Subtracting 65 from 70 leaves us with 5.
Grab the next digit (5) from the dividend, add it to 5, then carry on: 55 / 65

Going ahead to step 3:
If we divide 55 by 65, we get 0 and a remainder of 55.
Write down 0 as next digit of the result. 
Result so far: 10.0
If we subtract 0 from 55, we get 55.
Fetch the next digit (4) from the dividend, attach it to 55 and continue: 554 / 65

Let's proceed to step 4:
65 can be fit into 554 8 times, resulting in a remainder of 34.
Put 8 as the next digit of the answer. 
Result so far: 108.0
If we subtract 520 from 554, we get 34.
Take the next digit (3) from the dividend and append it to 34, then repeat: 343 / 65

On to step 5:
If we divide 343 by 65, we get 5 and a remainder of 18.
The next digit of our result is 5. 
Result so far: 1085.0
The remainder is 18 after subtracting 325 from 343.
Take the next digit (6) from the dividend and append it to 18, then repeat: 186 / 65

Going ahead to step 6:
65 can be fit into 186 2 times, resulting in a remainder of 56.
Use 2 as the next digit of our solution. 
Result so far: 10852.0
Subtracting 130 from 186 leaves us with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Step 7:
The number 65 fits into 560 8 times, leaving a remainder of 40.
Put 8 as the next digit of the answer. 
Result so far: 10852.8
If we take 520 away from 560, we end up with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Going ahead to step 8:
If we divide 400 by 65, we get 6 and a remainder of 10.
The next digit of our result is 6. 
Result so far: 10852.86
If we take 390 away from 400, 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.

Advancing to step 9:
When dividing 100 by 65, we get 1 with a remainder of 35.
The next digit of our result is 1. 
Result so far: 10852.861
The remainder is 35 after subtracting 65 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Going ahead to step 10:
350 divided by 65 is 5 with a remainder of 25.
Record the quotient 5 as the next digit in the result. 
Result so far: 10852.8615
If we subtract 325 from 350, we get 25.
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 11:
If we divide 250 by 65, we get 3 and a remainder of 55.
Record the quotient 3 as the next digit in the result. 
Result so far: 10852.86153
If we subtract 195 from 250, we get 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Going ahead to step 12:
65 can be fit into 550 8 times, resulting in a remainder of 30.
Write down 8 as next digit of the result. 
Result so far: 10852.861538
If we take 520 away from 550, we end up 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.

Step 13:
If we divide 300 by 65, we get 4 and a remainder of 40.
Write down 4 as next digit of the result. 
Result so far: 10852.8615384
If we take 260 away from 300, we end up with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Going ahead to step 14:
65 goes into 400 6 times with a remainder of 10.
Write down 6 as next digit of the result. 
Result so far: 10852.86153846
Deduct 390 from 400 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.

The final outcome is 10852.86153846, with a leftover of 1e-08.