We look at the division of 345546 by 41 
We're looking to find how many times 41 goes into 345546.

Advancing to step 1:
The number 41 fits into 3 0 times, leaving a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Include the next digit (4) from the dividend after 3, then repeat: 34 / 41

Step 2:
The number 41 fits into 34 0 times, leaving a remainder of 34.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 34 after subtracting 0 from 34.
Grab the next digit (5) from the dividend, add it to 34, then carry on: 345 / 41

On to step 3:
The number 41 fits into 345 8 times, leaving a remainder of 17.
The number 8 becomes the next digit in our result. 
Result so far: 8.0
The remainder is 17 after subtracting 328 from 345.
Grab the next digit (5) from the dividend, add it to 17, then carry on: 175 / 41

Going ahead to step 4:
175 divided by 41 is 4 with a remainder of 11.
The number 4 becomes the next digit in our result. 
Result so far: 84.0
Subtracting 164 from 175 leaves us with 11.
Take the next digit (4) from the dividend and append it to 11, then repeat: 114 / 41

Moving on to step 5:
114 divided by 41 is 2 with a remainder of 32.
The number 2 becomes the next digit in our result. 
Result so far: 842.0
Deduct 82 from 114 and we're left with 32.
Take the next digit (6) from the dividend and append it to 32, then repeat: 326 / 41

Step 6:
41 goes into 326 7 times with a remainder of 39.
The next digit of our result is 7. 
Result so far: 8427.0
Deduct 287 from 326 and we're left with 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Moving on to step 7:
When dividing 390 by 41, we get 9 with a remainder of 21.
The next digit of our result is 9. 
Result so far: 8427.9
Subtracting 369 from 390 leaves us with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Advancing to step 8:
41 goes into 210 5 times with a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 8427.95
Deduct 205 from 210 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 9:
When dividing 50 by 41, we get 1 with a remainder of 9.
The next digit of our result is 1. 
Result so far: 8427.951
If we take 41 away from 50, we end up with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Step 10:
41 can be fit into 90 2 times, resulting in a remainder of 8.
Write down 2 as next digit of the result. 
Result so far: 8427.9512
Subtracting 82 from 90 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Going ahead to step 11:
80 divided by 41 is 1 with a remainder of 39.
Put 1 as the next digit of the answer. 
Result so far: 8427.95121
If we subtract 41 from 80, we get 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Let's proceed to step 12:
If we divide 390 by 41, we get 9 and a remainder of 21.
The next digit of our result is 9. 
Result so far: 8427.951219
Subtracting 369 from 390 leaves us with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Moving on to step 13:
The number 41 fits into 210 5 times, leaving a remainder of 5.
The next digit of our result is 5. 
Result so far: 8427.9512195
Subtracting 205 from 210 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 14:
41 can be fit into 50 1 times, resulting in a remainder of 9.
Put 1 as the next digit of the answer. 
Result so far: 8427.95121951
Subtracting 41 from 50 leaves us with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

The final result is 8427.95121951 with a remainder of 9e-09.