We look at the division of 706378 by 53 
We want to divide 706378 by 53.

On to step 1:
If we divide 7 by 53, we get 0 and a remainder of 7.
Write down 0 as next digit of the result. 
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 / 53

Let's proceed to step 2:
53 can be fit into 70 1 times, resulting in a remainder of 17.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Deduct 53 from 70 and we're left with 17.
Bring next digit (6) of the dividend behind the 17 and repeat the process: 176 / 53

Let's proceed to step 3:
If we divide 176 by 53, we get 3 and a remainder of 17.
The number 3 becomes the next digit in our result. 
Result so far: 13.0
If we subtract 159 from 176, we get 17.
Bring next digit (3) of the dividend behind the 17 and repeat the process: 173 / 53

Going ahead to step 4:
When dividing 173 by 53, we get 3 with a remainder of 14.
The number 3 becomes the next digit in our result. 
Result so far: 133.0
Deduct 159 from 173 and we're left with 14.
Fetch the next digit (7) from the dividend, attach it to 14 and continue: 147 / 53

Going ahead to step 5:
The number 53 fits into 147 2 times, leaving a remainder of 41.
Record the quotient 2 as the next digit in the result. 
Result so far: 1332.0
Subtracting 106 from 147 leaves us with 41.
Include the next digit (8) from the dividend after 41, then repeat: 418 / 53

Advancing to step 6:
53 goes into 418 7 times with a remainder of 47.
The number 7 becomes the next digit in our result. 
Result so far: 13327.0
Subtracting 371 from 418 leaves us with 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

Moving on to step 7:
The number 53 fits into 470 8 times, leaving a remainder of 46.
The next digit of our result is 8. 
Result so far: 13327.8
Subtract 424 from 470 to get 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Step 8:
53 can be fit into 460 8 times, resulting in a remainder of 36.
Put 8 as the next digit of the answer. 
Result so far: 13327.88
The remainder is 36 after subtracting 424 from 460.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

After the division, we end up with 13327.88 and a remainder of 0.036.