We look at the division of 613408 by 97 
We want to divide 613408 by 97.

On to step 1:
The number 97 fits into 6 0 times, leaving a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Append the next digit (1) from the dividend to 6 and continue with: 61 / 97

Let's proceed to step 2:
When dividing 61 by 97, we get 0 with a remainder of 61.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 61, we end up with 61.
Append the next digit (3) from the dividend to 61 and continue with: 613 / 97

Moving on to step 3:
97 goes into 613 6 times with a remainder of 31.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
Deduct 582 from 613 and we're left with 31.
Grab the next digit (4) from the dividend, add it to 31, then carry on: 314 / 97

Moving on to step 4:
97 goes into 314 3 times with a remainder of 23.
Use 3 as the next digit of our solution. 
Result so far: 63.0
Subtracting 291 from 314 leaves us with 23.
Append the next digit (0) from the dividend to 23 and continue with: 230 / 97

On to step 5:
If we divide 230 by 97, we get 2 and a remainder of 36.
The number 2 becomes the next digit in our result. 
Result so far: 632.0
If we take 194 away from 230, we end up with 36.
Fetch the next digit (8) from the dividend, attach it to 36 and continue: 368 / 97

Let's proceed to step 6:
97 can be fit into 368 3 times, resulting in a remainder of 77.
Record the quotient 3 as the next digit in the result. 
Result so far: 6323.0
The remainder is 77 after subtracting 291 from 368.
Since there are no more digits in the dividend, we add a zero to the remainder making it 770, and continue the process.

Step 7:
If we divide 770 by 97, we get 7 and a remainder of 91.
The next digit of our result is 7. 
Result so far: 6323.7
If we subtract 679 from 770, we get 91.
Since there are no more digits in the dividend, we add a zero to the remainder making it 910, and continue the process.

Step 8:
When dividing 910 by 97, we get 9 with a remainder of 37.
Record the quotient 9 as the next digit in the result. 
Result so far: 6323.79
Subtracting 873 from 910 leaves us with 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Step 9:
97 goes into 370 3 times with a remainder of 79.
The next digit of our result is 3. 
Result so far: 6323.793
If we take 291 away from 370, we end up with 79.
Since there are no more digits in the dividend, we add a zero to the remainder making it 790, and continue the process.

Step 10:
97 can be fit into 790 8 times, resulting in a remainder of 14.
The number 8 becomes the next digit in our result. 
Result so far: 6323.7938
Deduct 776 from 790 and we're left with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

On to step 11:
97 can be fit into 140 1 times, resulting in a remainder of 43.
The number 1 becomes the next digit in our result. 
Result so far: 6323.79381
Subtracting 97 from 140 leaves us with 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

Step 12:
The number 97 fits into 430 4 times, leaving a remainder of 42.
Write down 4 as next digit of the result. 
Result so far: 6323.793814
The remainder is 42 after subtracting 388 from 430.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Step 13:
When dividing 420 by 97, we get 4 with a remainder of 32.
The next digit of our result is 4. 
Result so far: 6323.7938144
If we take 388 away from 420, we end up with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

The quotient of the division is 6323.7938144, and the remainder is 3.2e-07.