We look at the division of 352667 by 41 
We want to divide 352667 by 41.

Going ahead 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
Subtracting 0 from 3 leaves us with 3.
Append the next digit (5) from the dividend to 3 and continue with: 35 / 41

Step 2:
The number 41 fits into 35 0 times, leaving a remainder of 35.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 35, we get 35.
Append the next digit (2) from the dividend to 35 and continue with: 352 / 41

Moving on to step 3:
The number 41 fits into 352 8 times, leaving a remainder of 24.
Use 8 as the next digit of our solution. 
Result so far: 8.0
Subtracting 328 from 352 leaves us with 24.
Bring next digit (6) of the dividend behind the 24 and repeat the process: 246 / 41

Step 4:
41 goes into 246 6 times with a remainder of 0.
Write down 6 as next digit of the result. 
Result so far: 86.0
Subtracting 246 from 246 leaves us with 0.
Grab the next digit (6) from the dividend, add it to 0, then carry on: 6 / 41

On to step 5:
When dividing 6 by 41, we get 0 with a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 860.0
Deduct 0 from 6 and we're left with 6.
Fetch the next digit (7) from the dividend, attach it to 6 and continue: 67 / 41

Going ahead to step 6:
When dividing 67 by 41, we get 1 with a remainder of 26.
Record the quotient 1 as the next digit in the result. 
Result so far: 8601.0
If we subtract 41 from 67, we get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Advancing to step 7:
41 goes into 260 6 times with a remainder of 14.
The next digit of our result is 6. 
Result so far: 8601.6
Deduct 246 from 260 and we're left with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Moving on to step 8:
41 goes into 140 3 times with a remainder of 17.
Write down 3 as next digit of the result. 
Result so far: 8601.63
If we subtract 123 from 140, we get 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Let's proceed to step 9:
170 divided by 41 is 4 with a remainder of 6.
The next digit of our result is 4. 
Result so far: 8601.634
The remainder is 6 after subtracting 164 from 170.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Going ahead to step 10:
When dividing 60 by 41, we get 1 with a remainder of 19.
Record the quotient 1 as the next digit in the result. 
Result so far: 8601.6341
If we subtract 41 from 60, we get 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

On to step 11:
When dividing 190 by 41, we get 4 with a remainder of 26.
Write down 4 as next digit of the result. 
Result so far: 8601.63414
Deduct 164 from 190 and we're left with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Let's proceed to step 12:
If we divide 260 by 41, we get 6 and a remainder of 14.
Record the quotient 6 as the next digit in the result. 
Result so far: 8601.634146
If we subtract 246 from 260, we get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Step 13:
41 can be fit into 140 3 times, resulting in a remainder of 17.
Use 3 as the next digit of our solution. 
Result so far: 8601.6341463
Deduct 123 from 140 and we're left with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Step 14:
The number 41 fits into 170 4 times, leaving a remainder of 6.
Write down 4 as next digit of the result. 
Result so far: 8601.63414634
Subtract 164 from 170 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

After the division, we end up with 8601.63414634 and a remainder of 6e-09.