41649 ÷ 97 
Our goal is to divide 41649 by 97.

Let's proceed to step 1:
The number 97 fits into 4 0 times, leaving a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Fetch the next digit (1) from the dividend, attach it to 4 and continue: 41 / 97

Advancing to step 2:
41 divided by 97 is 0 with a remainder of 41.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 41, we end up with 41.
Fetch the next digit (6) from the dividend, attach it to 41 and continue: 416 / 97

Advancing to step 3:
97 can be fit into 416 4 times, resulting in a remainder of 28.
The next digit of our result is 4. 
Result so far: 4.0
If we take 388 away from 416, we end up with 28.
Take the next digit (4) from the dividend and append it to 28, then repeat: 284 / 97

On to step 4:
284 divided by 97 is 2 with a remainder of 90.
Put 2 as the next digit of the answer. 
Result so far: 42.0
Subtracting 194 from 284 leaves us with 90.
Grab the next digit (9) from the dividend, add it to 90, then carry on: 909 / 97

On to step 5:
97 goes into 909 9 times with a remainder of 36.
Record the quotient 9 as the next digit in the result. 
Result so far: 429.0
Subtracting 873 from 909 leaves us with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Advancing to step 6:
The number 97 fits into 360 3 times, leaving a remainder of 69.
Record the quotient 3 as the next digit in the result. 
Result so far: 429.3
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.

On to step 7:
97 goes into 690 7 times with a remainder of 11.
Put 7 as the next digit of the answer. 
Result so far: 429.37
The remainder is 11 after subtracting 679 from 690.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Let's proceed to step 8:
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: 429.371
If we take 97 away from 110, we end up with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

On to step 9:
When dividing 130 by 97, we get 1 with a remainder of 33.
Record the quotient 1 as the next digit in the result. 
Result so far: 429.3711
Subtracting 97 from 130 leaves us 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 quotient of the division is 429.3711, and the remainder is 0.00033.