360941 ÷ 97 
We're looking to find how many times 97 goes into 360941.

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.
Take the next digit (6) from the dividend and append it to 3, then repeat: 36 / 97

Going ahead to step 2:
When dividing 36 by 97, we get 0 with a remainder of 36.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 36, we get 36.
Take the next digit (0) from the dividend and append it to 36, then repeat: 360 / 97

Step 3:
The number 97 fits into 360 3 times, leaving a remainder of 69.
Put 3 as the next digit of the answer. 
Result so far: 3.0
If we take 291 away from 360, we end up with 69.
Bring next digit (9) of the dividend behind the 69 and repeat the process: 699 / 97

On to step 4:
If we divide 699 by 97, we get 7 and a remainder of 20.
Put 7 as the next digit of the answer. 
Result so far: 37.0
Deduct 679 from 699 and we're left with 20.
Fetch the next digit (4) from the dividend, attach it to 20 and continue: 204 / 97

Advancing to step 5:
97 goes into 204 2 times with a remainder of 10.
The number 2 becomes the next digit in our result. 
Result so far: 372.0
Subtracting 194 from 204 leaves us with 10.
Bring next digit (1) of the dividend behind the 10 and repeat the process: 101 / 97

Step 6:
The number 97 fits into 101 1 times, leaving a remainder of 4.
The next digit of our result is 1. 
Result so far: 3721.0
The remainder is 4 after subtracting 97 from 101.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 7:
The number 97 fits into 40 0 times, leaving a remainder of 40.
Put 0 as the next digit of the answer. 
Result so far: 3721.0
The remainder is 40 after subtracting 0 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Step 8:
The number 97 fits into 400 4 times, leaving a remainder of 12.
Use 4 as the next digit of our solution. 
Result so far: 3721.04
Subtract 388 from 400 to 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.

Going ahead to step 9:
The number 97 fits into 120 1 times, leaving a remainder of 23.
The next digit of our result is 1. 
Result so far: 3721.041
If we subtract 97 from 120, we get 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 10:
97 goes into 230 2 times with a remainder of 36.
The next digit of our result is 2. 
Result so far: 3721.0412
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 11:
97 can be fit into 360 3 times, resulting in a remainder of 69.
Put 3 as the next digit of the answer. 
Result so far: 3721.04123
Subtract 291 from 360 to get 69.
Since there are no more digits in the dividend, we add a zero to the remainder making it 690, and continue the process.

Let's proceed to step 12:
When dividing 690 by 97, we get 7 with a remainder of 11.
The number 7 becomes the next digit in our result. 
Result so far: 3721.041237
If we subtract 679 from 690, we get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Moving on to step 13:
If we divide 110 by 97, we get 1 and a remainder of 13.
The next digit of our result is 1. 
Result so far: 3721.0412371
Subtract 97 from 110 to get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Advancing to step 14:
If we divide 130 by 97, we get 1 and a remainder of 33.
Put 1 as the next digit of the answer. 
Result so far: 3721.04123711
If we take 97 away from 130, we end up with 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

The final outcome is 3721.04123711, with a leftover of 3.3e-08.