We're dividing 338561 by 97 
We're looking to find how many times 97 goes into 338561.

Step 1:
3 divided by 97 is 0 with a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Bring next digit (3) of the dividend behind the 3 and repeat the process: 33 / 97

Let's proceed to step 2:
When dividing 33 by 97, we get 0 with a remainder of 33.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 33 to get 33.
Take the next digit (8) from the dividend and append it to 33, then repeat: 338 / 97

Going ahead to step 3:
The number 97 fits into 338 3 times, leaving a remainder of 47.
The next digit of our result is 3. 
Result so far: 3.0
Subtract 291 from 338 to get 47.
Fetch the next digit (5) from the dividend, attach it to 47 and continue: 475 / 97

Advancing to step 4:
If we divide 475 by 97, we get 4 and a remainder of 87.
The number 4 becomes the next digit in our result. 
Result so far: 34.0
The remainder is 87 after subtracting 388 from 475.
Fetch the next digit (6) from the dividend, attach it to 87 and continue: 876 / 97

On to step 5:
97 goes into 876 9 times with a remainder of 3.
Write down 9 as next digit of the result. 
Result so far: 349.0
Subtracting 873 from 876 leaves us with 3.
Append the next digit (1) from the dividend to 3 and continue with: 31 / 97

Step 6:
If we divide 31 by 97, we get 0 and a remainder of 31.
Use 0 as the next digit of our solution. 
Result so far: 3490.0
Deduct 0 from 31 and we're left with 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Advancing to step 7:
The number 97 fits into 310 3 times, leaving a remainder of 19.
The number 3 becomes the next digit in our result. 
Result so far: 3490.3
Subtract 291 from 310 to get 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Step 8:
97 goes into 190 1 times with a remainder of 93.
Use 1 as the next digit of our solution. 
Result so far: 3490.31
If we subtract 97 from 190, we get 93.
Since there are no more digits in the dividend, we add a zero to the remainder making it 930, and continue the process.

On to step 9:
97 goes into 930 9 times with a remainder of 57.
Put 9 as the next digit of the answer. 
Result so far: 3490.319
Subtract 873 from 930 to get 57.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

Step 10:
97 goes into 570 5 times with a remainder of 85.
The number 5 becomes the next digit in our result. 
Result so far: 3490.3195
If we subtract 485 from 570, we get 85.
Since there are no more digits in the dividend, we add a zero to the remainder making it 850, and continue the process.

On to step 11:
When dividing 850 by 97, we get 8 with a remainder of 74.
Put 8 as the next digit of the answer. 
Result so far: 3490.31958
If we subtract 776 from 850, we get 74.
Since there are no more digits in the dividend, we add a zero to the remainder making it 740, and continue the process.

Let's proceed to step 12:
740 divided by 97 is 7 with a remainder of 61.
Put 7 as the next digit of the answer. 
Result so far: 3490.319587
If we subtract 679 from 740, we get 61.
Since there are no more digits in the dividend, we add a zero to the remainder making it 610, and continue the process.

Advancing to step 13:
The number 97 fits into 610 6 times, leaving a remainder of 28.
Write down 6 as next digit of the result. 
Result so far: 3490.3195876
The remainder is 28 after subtracting 582 from 610.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

On to step 14:
280 divided by 97 is 2 with a remainder of 86.
Put 2 as the next digit of the answer. 
Result so far: 3490.31958762
Subtracting 194 from 280 leaves us with 86.
Since there are no more digits in the dividend, we add a zero to the remainder making it 860, and continue the process.

Our division results in 3490.31958762 with a remaining 8.6e-08.