345264 ÷ 41 
We're looking to find how many times 41 goes into 345264.

Moving on to step 1:
41 can be fit into 3 0 times, resulting in a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Fetch the next digit (4) from the dividend, attach it to 3 and continue: 34 / 41

Advancing to step 2:
34 divided by 41 is 0 with a remainder of 34.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 34, we end up with 34.
Grab the next digit (5) from the dividend, add it to 34, then carry on: 345 / 41

Going ahead to step 3:
41 goes into 345 8 times with a remainder of 17.
The number 8 becomes the next digit in our result. 
Result so far: 8.0
Subtract 328 from 345 to get 17.
Append the next digit (2) from the dividend to 17 and continue with: 172 / 41

Step 4:
41 goes into 172 4 times with a remainder of 8.
Put 4 as the next digit of the answer. 
Result so far: 84.0
Deduct 164 from 172 and we're left with 8.
Append the next digit (6) from the dividend to 8 and continue with: 86 / 41

Let's proceed to step 5:
41 can be fit into 86 2 times, resulting in a remainder of 4.
The number 2 becomes the next digit in our result. 
Result so far: 842.0
Subtract 82 from 86 to get 4.
Take the next digit (4) from the dividend and append it to 4, then repeat: 44 / 41

Advancing to step 6:
44 divided by 41 is 1 with a remainder of 3.
Record the quotient 1 as the next digit in the result. 
Result so far: 8421.0
The remainder is 3 after subtracting 41 from 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Moving on to step 7:
30 divided by 41 is 0 with a remainder of 30.
Put 0 as the next digit of the answer. 
Result so far: 8421.0
Deduct 0 from 30 and we're left with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Going ahead to step 8:
41 can be fit into 300 7 times, resulting in a remainder of 13.
The next digit of our result is 7. 
Result so far: 8421.07
Subtracting 287 from 300 leaves us 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.

Moving on to step 9:
41 can be fit into 130 3 times, resulting in a remainder of 7.
Write down 3 as next digit of the result. 
Result so far: 8421.073
Deduct 123 from 130 and we're left with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Step 10:
41 can be fit into 70 1 times, resulting in a remainder of 29.
The next digit of our result is 1. 
Result so far: 8421.0731
Deduct 41 from 70 and we're left with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Step 11:
41 can be fit into 290 7 times, resulting in a remainder of 3.
Put 7 as the next digit of the answer. 
Result so far: 8421.07317
If we take 287 away from 290, we end up with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Step 12:
30 divided by 41 is 0 with a remainder of 30.
Record the quotient 0 as the next digit in the result. 
Result so far: 8421.07317
Deduct 0 from 30 and we're left with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

On to step 13:
If we divide 300 by 41, we get 7 and a remainder of 13.
Put 7 as the next digit of the answer. 
Result so far: 8421.0731707
The remainder is 13 after subtracting 287 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Step 14:
130 divided by 41 is 3 with a remainder of 7.
Record the quotient 3 as the next digit in the result. 
Result so far: 8421.07317073
Subtract 123 from 130 to get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

The final result is 8421.07317073 with a remainder of 7e-09.