353662 divided by 41 
Our goal is to divide 353662 by 41.

Advancing to step 1:
41 can be fit into 3 0 times, resulting in a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Grab the next digit (5) from the dividend, add it to 3, then carry on: 35 / 41

Moving on to step 2:
41 goes into 35 0 times with a remainder of 35.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 35 after subtracting 0 from 35.
Fetch the next digit (3) from the dividend, attach it to 35 and continue: 353 / 41

Let's proceed to step 3:
The number 41 fits into 353 8 times, leaving a remainder of 25.
The next digit of our result is 8. 
Result so far: 8.0
Subtracting 328 from 353 leaves us with 25.
Fetch the next digit (6) from the dividend, attach it to 25 and continue: 256 / 41

Advancing to step 4:
256 divided by 41 is 6 with a remainder of 10.
Write down 6 as next digit of the result. 
Result so far: 86.0
If we subtract 246 from 256, we get 10.
Append the next digit (6) from the dividend to 10 and continue with: 106 / 41

Moving on to step 5:
When dividing 106 by 41, we get 2 with a remainder of 24.
Put 2 as the next digit of the answer. 
Result so far: 862.0
Deduct 82 from 106 and we're left with 24.
Fetch the next digit (2) from the dividend, attach it to 24 and continue: 242 / 41

Step 6:
242 divided by 41 is 5 with a remainder of 37.
Put 5 as the next digit of the answer. 
Result so far: 8625.0
If we take 205 away from 242, we end up with 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Step 7:
41 can be fit into 370 9 times, resulting in a remainder of 1.
Put 9 as the next digit of the answer. 
Result so far: 8625.9
If we subtract 369 from 370, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Advancing to step 8:
41 goes into 10 0 times with a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 8625.9
Subtract 0 from 10 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 9:
When dividing 100 by 41, we get 2 with a remainder of 18.
The next digit of our result is 2. 
Result so far: 8625.902
If we subtract 82 from 100, we get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Moving on to step 10:
When dividing 180 by 41, we get 4 with a remainder of 16.
Put 4 as the next digit of the answer. 
Result so far: 8625.9024
If we subtract 164 from 180, we get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Going ahead to step 11:
When dividing 160 by 41, we get 3 with a remainder of 37.
The number 3 becomes the next digit in our result. 
Result so far: 8625.90243
The remainder is 37 after subtracting 123 from 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Moving on to step 12:
41 goes into 370 9 times with a remainder of 1.
Record the quotient 9 as the next digit in the result. 
Result so far: 8625.902439
Deduct 369 from 370 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 13:
41 goes into 10 0 times with a remainder of 10.
The next digit of our result is 0. 
Result so far: 8625.902439
If we subtract 0 from 10, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 14:
When dividing 100 by 41, we get 2 with a remainder of 18.
Write down 2 as next digit of the result. 
Result so far: 8625.90243902
If we subtract 82 from 100, we get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

The final outcome is 8625.90243902, with a leftover of 1.8e-08.