We look at the division of 735878 by 97 
Our goal is to divide 735878 by 97.

Going ahead to step 1:
If we divide 7 by 97, we get 0 and a remainder of 7.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 7, we end up with 7.
Bring next digit (3) of the dividend behind the 7 and repeat the process: 73 / 97

Going ahead to step 2:
The number 97 fits into 73 0 times, leaving a remainder of 73.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 73 and we're left with 73.
Fetch the next digit (5) from the dividend, attach it to 73 and continue: 735 / 97

Moving on to step 3:
When dividing 735 by 97, we get 7 with a remainder of 56.
Write down 7 as next digit of the result. 
Result so far: 7.0
Deduct 679 from 735 and we're left with 56.
Fetch the next digit (8) from the dividend, attach it to 56 and continue: 568 / 97

On to step 4:
97 can be fit into 568 5 times, resulting in a remainder of 83.
Put 5 as the next digit of the answer. 
Result so far: 75.0
If we subtract 485 from 568, we get 83.
Include the next digit (7) from the dividend after 83, then repeat: 837 / 97

Moving on to step 5:
837 divided by 97 is 8 with a remainder of 61.
Record the quotient 8 as the next digit in the result. 
Result so far: 758.0
If we subtract 776 from 837, we get 61.
Bring next digit (8) of the dividend behind the 61 and repeat the process: 618 / 97

Going ahead to step 6:
When dividing 618 by 97, we get 6 with a remainder of 36.
Write down 6 as next digit of the result. 
Result so far: 7586.0
Deduct 582 from 618 and we're left with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Moving on to step 7:
When dividing 360 by 97, we get 3 with a remainder of 69.
Use 3 as the next digit of our solution. 
Result so far: 7586.3
If we subtract 291 from 360, we get 69.
Since there are no more digits in the dividend, we add a zero to the remainder making it 690, and continue the process.

Let's proceed to step 8:
When dividing 690 by 97, we get 7 with a remainder of 11.
Put 7 as the next digit of the answer. 
Result so far: 7586.37
If we subtract 679 from 690, we get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Let's proceed to step 9:
97 goes into 110 1 times with a remainder of 13.
The next digit of our result is 1. 
Result so far: 7586.371
Subtracting 97 from 110 leaves us with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

On to step 10:
97 goes into 130 1 times with a remainder of 33.
The next digit of our result is 1. 
Result so far: 7586.3711
Subtracting 97 from 130 leaves us with 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

The quotient of the division is 7586.3711, and the remainder is 0.00033.