We look at the division of 368725 by 97 
We want to figure out the number of times 368725 can be divided by 97.

Let's proceed to step 1:
97 goes into 3 0 times with a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Include the next digit (6) from the dividend after 3, then repeat: 36 / 97

Advancing to step 2:
If we divide 36 by 97, we get 0 and a remainder of 36.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 36 to get 36.
Take the next digit (8) from the dividend and append it to 36, then repeat: 368 / 97

Advancing to step 3:
97 goes into 368 3 times with a remainder of 77.
The number 3 becomes the next digit in our result. 
Result so far: 3.0
Subtract 291 from 368 to get 77.
Bring next digit (7) of the dividend behind the 77 and repeat the process: 777 / 97

Going ahead to step 4:
97 goes into 777 8 times with a remainder of 1.
Record the quotient 8 as the next digit in the result. 
Result so far: 38.0
Subtract 776 from 777 to get 1.
Bring next digit (2) of the dividend behind the 1 and repeat the process: 12 / 97

Going ahead to step 5:
97 can be fit into 12 0 times, resulting in a remainder of 12.
Record the quotient 0 as the next digit in the result. 
Result so far: 380.0
Subtracting 0 from 12 leaves us with 12.
Append the next digit (5) from the dividend to 12 and continue with: 125 / 97

On to step 6:
The number 97 fits into 125 1 times, leaving a remainder of 28.
Use 1 as the next digit of our solution. 
Result so far: 3801.0
Subtracting 97 from 125 leaves us with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Going ahead to step 7:
If we divide 280 by 97, we get 2 and a remainder of 86.
Record the quotient 2 as the next digit in the result. 
Result so far: 3801.2
If we take 194 away from 280, we end up 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.

Let's proceed to step 8:
97 can be fit into 860 8 times, resulting in a remainder of 84.
Put 8 as the next digit of the answer. 
Result so far: 3801.28
If we take 776 away from 860, we end up with 84.
Since there are no more digits in the dividend, we add a zero to the remainder making it 840, and continue the process.

Step 9:
97 can be fit into 840 8 times, resulting in a remainder of 64.
Record the quotient 8 as the next digit in the result. 
Result so far: 3801.288
If we subtract 776 from 840, we get 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

In conclusion, the division gives 3801.288 with a balance of 0.0064.