We're dividing 16345 by 41 
We're looking to find how many times 41 goes into 16345.

Moving on to step 1:
When dividing 1 by 41, we get 0 with a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Include the next digit (6) from the dividend after 1, then repeat: 16 / 41

Step 2:
When dividing 16 by 41, we get 0 with a remainder of 16.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 16, we get 16.
Bring next digit (3) of the dividend behind the 16 and repeat the process: 163 / 41

Advancing to step 3:
When dividing 163 by 41, we get 3 with a remainder of 40.
The number 3 becomes the next digit in our result. 
Result so far: 3.0
Subtract 123 from 163 to get 40.
Bring next digit (4) of the dividend behind the 40 and repeat the process: 404 / 41

Moving on to step 4:
The number 41 fits into 404 9 times, leaving a remainder of 35.
The number 9 becomes the next digit in our result. 
Result so far: 39.0
If we take 369 away from 404, we end up with 35.
Take the next digit (5) from the dividend and append it to 35, then repeat: 355 / 41

Going ahead to step 5:
The number 41 fits into 355 8 times, leaving a remainder of 27.
Put 8 as the next digit of the answer. 
Result so far: 398.0
If we subtract 328 from 355, we get 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Step 6:
The number 41 fits into 270 6 times, leaving a remainder of 24.
The number 6 becomes the next digit in our result. 
Result so far: 398.6
Subtracting 246 from 270 leaves us with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

On to step 7:
If we divide 240 by 41, we get 5 and a remainder of 35.
Record the quotient 5 as the next digit in the result. 
Result so far: 398.65
Subtract 205 from 240 to get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Advancing to step 8:
The number 41 fits into 350 8 times, leaving a remainder of 22.
The next digit of our result is 8. 
Result so far: 398.658
If we subtract 328 from 350, we get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Let's proceed to step 9:
If we divide 220 by 41, we get 5 and a remainder of 15.
Write down 5 as next digit of the result. 
Result so far: 398.6585
If we subtract 205 from 220, we get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Let's proceed to step 10:
41 can be fit into 150 3 times, resulting in a remainder of 27.
The number 3 becomes the next digit in our result. 
Result so far: 398.65853
Deduct 123 from 150 and we're left with 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Going ahead to step 11:
The number 41 fits into 270 6 times, leaving a remainder of 24.
Use 6 as the next digit of our solution. 
Result so far: 398.658536
Subtracting 246 from 270 leaves us with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

On to step 12:
240 divided by 41 is 5 with a remainder of 35.
Put 5 as the next digit of the answer. 
Result so far: 398.6585365
The remainder is 35 after subtracting 205 from 240.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Going ahead to step 13:
When dividing 350 by 41, we get 8 with a remainder of 22.
Record the quotient 8 as the next digit in the result. 
Result so far: 398.65853658
If we take 328 away from 350, 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.

The quotient of the division is 398.65853658, and the remainder is 2.2e-08.