We're dividing 670586 by 41 
We want to figure out the number of times 670586 can be divided by 41.

On to step 1:
If we divide 6 by 41, we get 0 and a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Append the next digit (7) from the dividend to 6 and continue with: 67 / 41

Going ahead to step 2:
If we divide 67 by 41, we get 1 and a remainder of 26.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we subtract 41 from 67, we get 26.
Take the next digit (0) from the dividend and append it to 26, then repeat: 260 / 41

Step 3:
When dividing 260 by 41, we get 6 with a remainder of 14.
Put 6 as the next digit of the answer. 
Result so far: 16.0
Deduct 246 from 260 and we're left with 14.
Grab the next digit (5) from the dividend, add it to 14, then carry on: 145 / 41

On to step 4:
When dividing 145 by 41, we get 3 with a remainder of 22.
Use 3 as the next digit of our solution. 
Result so far: 163.0
Deduct 123 from 145 and we're left with 22.
Include the next digit (8) from the dividend after 22, then repeat: 228 / 41

Advancing to step 5:
41 goes into 228 5 times with a remainder of 23.
The next digit of our result is 5. 
Result so far: 1635.0
The remainder is 23 after subtracting 205 from 228.
Bring next digit (6) of the dividend behind the 23 and repeat the process: 236 / 41

Advancing to step 6:
When dividing 236 by 41, we get 5 with a remainder of 31.
The next digit of our result is 5. 
Result so far: 16355.0
If we subtract 205 from 236, we get 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Advancing to step 7:
41 can be fit into 310 7 times, resulting in a remainder of 23.
Put 7 as the next digit of the answer. 
Result so far: 16355.7
If we subtract 287 from 310, we get 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

On to step 8:
When dividing 230 by 41, we get 5 with a remainder of 25.
The next digit of our result is 5. 
Result so far: 16355.75
Subtracting 205 from 230 leaves us with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

On to step 9:
250 divided by 41 is 6 with a remainder of 4.
Put 6 as the next digit of the answer. 
Result so far: 16355.756
The remainder is 4 after subtracting 246 from 250.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 10:
41 can be fit into 40 0 times, resulting in a remainder of 40.
Put 0 as the next digit of the answer. 
Result so far: 16355.756
The remainder is 40 after subtracting 0 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Step 11:
400 divided by 41 is 9 with a remainder of 31.
Record the quotient 9 as the next digit in the result. 
Result so far: 16355.75609
The remainder is 31 after subtracting 369 from 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Step 12:
41 can be fit into 310 7 times, resulting in a remainder of 23.
The number 7 becomes the next digit in our result. 
Result so far: 16355.756097
If we subtract 287 from 310, we get 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Advancing to step 13:
230 divided by 41 is 5 with a remainder of 25.
Record the quotient 5 as the next digit in the result. 
Result so far: 16355.7560975
If we subtract 205 from 230, we get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Going ahead to step 14:
250 divided by 41 is 6 with a remainder of 4.
The number 6 becomes the next digit in our result. 
Result so far: 16355.75609756
If we take 246 away from 250, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

After the division, we end up with 16355.75609756 and a remainder of 4e-09.