We're dividing 338500 by 97 
We're looking to find how many times 97 goes into 338500.

Step 1:
If we divide 3 by 97, we get 0 and a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Include the next digit (3) from the dividend after 3, then repeat: 33 / 97

Step 2:
When dividing 33 by 97, we get 0 with a remainder of 33.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 33 to get 33.
Bring next digit (8) of the dividend behind the 33 and repeat the process: 338 / 97

Let's proceed to step 3:
When dividing 338 by 97, we get 3 with a remainder of 47.
Put 3 as the next digit of the answer. 
Result so far: 3.0
If we subtract 291 from 338, we get 47.
Fetch the next digit (5) from the dividend, attach it to 47 and continue: 475 / 97

On to step 4:
The number 97 fits into 475 4 times, leaving a remainder of 87.
The next digit of our result is 4. 
Result so far: 34.0
If we subtract 388 from 475, we get 87.
Append the next digit (0) from the dividend to 87 and continue with: 870 / 97

On to step 5:
If we divide 870 by 97, we get 8 and a remainder of 94.
Use 8 as the next digit of our solution. 
Result so far: 348.0
Subtract 776 from 870 to get 94.
Bring next digit (0) of the dividend behind the 94 and repeat the process: 940 / 97

Step 6:
When dividing 940 by 97, we get 9 with a remainder of 67.
Put 9 as the next digit of the answer. 
Result so far: 3489.0
If we subtract 873 from 940, we get 67.
Since there are no more digits in the dividend, we add a zero to the remainder making it 670, and continue the process.

On to step 7:
670 divided by 97 is 6 with a remainder of 88.
Record the quotient 6 as the next digit in the result. 
Result so far: 3489.6
Subtract 582 from 670 to get 88.
Since there are no more digits in the dividend, we add a zero to the remainder making it 880, and continue the process.

Moving on to step 8:
880 divided by 97 is 9 with a remainder of 7.
Put 9 as the next digit of the answer. 
Result so far: 3489.69
If we take 873 away from 880, we end up with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Advancing to step 9:
When dividing 70 by 97, we get 0 with a remainder of 70.
Use 0 as the next digit of our solution. 
Result so far: 3489.69
Subtract 0 from 70 to get 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Going ahead to step 10:
If we divide 700 by 97, we get 7 and a remainder of 21.
Put 7 as the next digit of the answer. 
Result so far: 3489.6907
Subtracting 679 from 700 leaves us with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Step 11:
97 goes into 210 2 times with a remainder of 16.
Use 2 as the next digit of our solution. 
Result so far: 3489.69072
Deduct 194 from 210 and we're left with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Step 12:
160 divided by 97 is 1 with a remainder of 63.
Write down 1 as next digit of the result. 
Result so far: 3489.690721
If we take 97 away from 160, we end up with 63.
Since there are no more digits in the dividend, we add a zero to the remainder making it 630, and continue the process.

Let's proceed to step 13:
The number 97 fits into 630 6 times, leaving a remainder of 48.
Record the quotient 6 as the next digit in the result. 
Result so far: 3489.6907216
Subtract 582 from 630 to get 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Step 14:
If we divide 480 by 97, we get 4 and a remainder of 92.
The number 4 becomes the next digit in our result. 
Result so far: 3489.69072164
Deduct 388 from 480 and we're left with 92.
Since there are no more digits in the dividend, we add a zero to the remainder making it 920, and continue the process.

After the division, we end up with 3489.69072164 and a remainder of 9.2e-08.