613537 ÷ 97 
We want to figure out the number of times 613537 can be divided by 97.

Moving on to step 1:
97 can be fit into 6 0 times, resulting in a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Fetch the next digit (1) from the dividend, attach it to 6 and continue: 61 / 97

Step 2:
97 goes into 61 0 times with a remainder of 61.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 61 leaves us with 61.
Include the next digit (3) from the dividend after 61, then repeat: 613 / 97

Step 3:
When dividing 613 by 97, we get 6 with a remainder of 31.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
The remainder is 31 after subtracting 582 from 613.
Grab the next digit (5) from the dividend, add it to 31, then carry on: 315 / 97

On to step 4:
The number 97 fits into 315 3 times, leaving a remainder of 24.
The number 3 becomes the next digit in our result. 
Result so far: 63.0
Subtracting 291 from 315 leaves us with 24.
Take the next digit (3) from the dividend and append it to 24, then repeat: 243 / 97

On to step 5:
If we divide 243 by 97, we get 2 and a remainder of 49.
The next digit of our result is 2. 
Result so far: 632.0
If we subtract 194 from 243, we get 49.
Append the next digit (7) from the dividend to 49 and continue with: 497 / 97

Going ahead to step 6:
97 goes into 497 5 times with a remainder of 12.
The next digit of our result is 5. 
Result so far: 6325.0
If we subtract 485 from 497, we get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

On to step 7:
When dividing 120 by 97, we get 1 with a remainder of 23.
Use 1 as the next digit of our solution. 
Result so far: 6325.1
If we take 97 away from 120, we end up with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Step 8:
If we divide 230 by 97, we get 2 and a remainder of 36.
Write down 2 as next digit of the result. 
Result so far: 6325.12
The remainder is 36 after subtracting 194 from 230.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

On to step 9:
The number 97 fits into 360 3 times, leaving a remainder of 69.
The next digit of our result is 3. 
Result so far: 6325.123
The remainder is 69 after subtracting 291 from 360.
Since there are no more digits in the dividend, we add a zero to the remainder making it 690, and continue the process.

On to step 10:
The number 97 fits into 690 7 times, leaving a remainder of 11.
Record the quotient 7 as the next digit in the result. 
Result so far: 6325.1237
Subtracting 679 from 690 leaves us with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Advancing to step 11:
110 divided by 97 is 1 with a remainder of 13.
The number 1 becomes the next digit in our result. 
Result so far: 6325.12371
If we take 97 away from 110, we end up 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.

Let's proceed to step 12:
130 divided by 97 is 1 with a remainder of 33.
Record the quotient 1 as the next digit in the result. 
Result so far: 6325.123711
The remainder is 33 after subtracting 97 from 130.
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 6325.123711, and the remainder is 3.3e-06.