Let's divide 97353842 by 513
We're looking to find how many times 513 goes into 97353842.

Moving on to step 1:
When dividing 9 by 513, we get 0 with a remainder of 9.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 9 and we're left with 9.
Append the next digit (7) from the dividend to 9 and continue with: 97 / 513

Advancing to step 2:
If we divide 97 by 513, we get 0 and a remainder of 97.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 97 after subtracting 0 from 97.
Append the next digit (3) from the dividend to 97 and continue with: 973 / 513

Moving on to step 3:
973 divided by 513 is 1 with a remainder of 460.
The next digit of our result is 1. 
Result so far: 1.0
If we take 513 away from 973, we end up with 460.
Append the next digit (5) from the dividend to 460 and continue with: 4605 / 513

Let's proceed to step 4:
If we divide 4605 by 513, we get 8 and a remainder of 501.
Use 8 as the next digit of our solution. 
Result so far: 18.0
Subtract 4104 from 4605 to get 501.
Append the next digit (3) from the dividend to 501 and continue with: 5013 / 513

On to step 5:
513 goes into 5013 9 times with a remainder of 396.
Use 9 as the next digit of our solution. 
Result so far: 189.0
The remainder is 396 after subtracting 4617 from 5013.
Include the next digit (8) from the dividend after 396, then repeat: 3968 / 513

Advancing to step 6:
3968 divided by 513 is 7 with a remainder of 377.
The next digit of our result is 7. 
Result so far: 1897.0
The remainder is 377 after subtracting 3591 from 3968.
Append the next digit (4) from the dividend to 377 and continue with: 3774 / 513

Advancing to step 7:
When dividing 3774 by 513, we get 7 with a remainder of 183.
Record the quotient 7 as the next digit in the result. 
Result so far: 18977.0
Subtracting 3591 from 3774 leaves us with 183.
Fetch the next digit (2) from the dividend, attach it to 183 and continue: 1832 / 513

Let's proceed to step 8:
513 can be fit into 1832 3 times, resulting in a remainder of 293.
Record the quotient 3 as the next digit in the result. 
Result so far: 189773.0
The remainder is 293 after subtracting 1539 from 1832.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2930, and continue the process.

Step 9:
When dividing 2930 by 513, we get 5 with a remainder of 365.
Use 5 as the next digit of our solution. 
Result so far: 189773.5
Subtracting 2565 from 2930 leaves us with 365.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3650, and continue the process.

On to step 10:
3650 divided by 513 is 7 with a remainder of 59.
The number 7 becomes the next digit in our result. 
Result so far: 189773.57
If we take 3591 away from 3650, we end up with 59.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

Let's proceed to step 11:
The number 513 fits into 590 1 times, leaving a remainder of 77.
Record the quotient 1 as the next digit in the result. 
Result so far: 189773.571
Subtracting 513 from 590 leaves us with 77.
Since there are no more digits in the dividend, we add a zero to the remainder making it 770, and continue the process.

Going ahead to step 12:
513 goes into 770 1 times with a remainder of 257.
Record the quotient 1 as the next digit in the result. 
Result so far: 189773.5711
If we take 513 away from 770, we end up with 257.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2570, and continue the process.

The quotient of the division is 189773.5711, and the remainder is 0.00257.