414844 ÷ 97 
Our goal is to divide 414844 by 97.

Let's proceed to step 1:
97 goes into 4 0 times with a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Bring next digit (1) of the dividend behind the 4 and repeat the process: 41 / 97

Going ahead to step 2:
The number 97 fits into 41 0 times, leaving a remainder of 41.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 41 to get 41.
Fetch the next digit (4) from the dividend, attach it to 41 and continue: 414 / 97

Going ahead to step 3:
414 divided by 97 is 4 with a remainder of 26.
The next digit of our result is 4. 
Result so far: 4.0
Deduct 388 from 414 and we're left with 26.
Take the next digit (8) from the dividend and append it to 26, then repeat: 268 / 97

Moving on to step 4:
The number 97 fits into 268 2 times, leaving a remainder of 74.
Use 2 as the next digit of our solution. 
Result so far: 42.0
The remainder is 74 after subtracting 194 from 268.
Grab the next digit (4) from the dividend, add it to 74, then carry on: 744 / 97

Let's proceed to step 5:
97 can be fit into 744 7 times, resulting in a remainder of 65.
The number 7 becomes the next digit in our result. 
Result so far: 427.0
Subtract 679 from 744 to get 65.
Grab the next digit (4) from the dividend, add it to 65, then carry on: 654 / 97

Going ahead to step 6:
97 can be fit into 654 6 times, resulting in a remainder of 72.
Put 6 as the next digit of the answer. 
Result so far: 4276.0
If we take 582 away from 654, we end up with 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

On to step 7:
720 divided by 97 is 7 with a remainder of 41.
The number 7 becomes the next digit in our result. 
Result so far: 4276.7
If we subtract 679 from 720, we get 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Advancing to step 8:
410 divided by 97 is 4 with a remainder of 22.
Put 4 as the next digit of the answer. 
Result so far: 4276.74
If we take 388 away from 410, we end up with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Step 9:
If we divide 220 by 97, we get 2 and a remainder of 26.
Use 2 as the next digit of our solution. 
Result so far: 4276.742
If we take 194 away from 220, we end up with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Moving on to step 10:
97 goes into 260 2 times with a remainder of 66.
The number 2 becomes the next digit in our result. 
Result so far: 4276.7422
If we subtract 194 from 260, we get 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

The quotient of the division is 4276.7422, and the remainder is 0.00066.