We're dividing 687626 by 41 
We're looking to find how many times 41 goes into 687626.

Let's proceed to step 1:
6 divided by 41 is 0 with a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Grab the next digit (8) from the dividend, add it to 6, then carry on: 68 / 41

On to step 2:
The number 41 fits into 68 1 times, leaving a remainder of 27.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Deduct 41 from 68 and we're left with 27.
Append the next digit (7) from the dividend to 27 and continue with: 277 / 41

Step 3:
41 can be fit into 277 6 times, resulting in a remainder of 31.
Record the quotient 6 as the next digit in the result. 
Result so far: 16.0
Deduct 246 from 277 and we're left with 31.
Fetch the next digit (6) from the dividend, attach it to 31 and continue: 316 / 41

Going ahead to step 4:
When dividing 316 by 41, we get 7 with a remainder of 29.
Put 7 as the next digit of the answer. 
Result so far: 167.0
If we subtract 287 from 316, we get 29.
Take the next digit (2) from the dividend and append it to 29, then repeat: 292 / 41

On to step 5:
When dividing 292 by 41, we get 7 with a remainder of 5.
Put 7 as the next digit of the answer. 
Result so far: 1677.0
Deduct 287 from 292 and we're left with 5.
Include the next digit (6) from the dividend after 5, then repeat: 56 / 41

Moving on to step 6:
56 divided by 41 is 1 with a remainder of 15.
The next digit of our result is 1. 
Result so far: 16771.0
If we subtract 41 from 56, we get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Advancing to step 7:
41 goes into 150 3 times with a remainder of 27.
The number 3 becomes the next digit in our result. 
Result so far: 16771.3
Subtract 123 from 150 to get 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Advancing to step 8:
41 goes into 270 6 times with a remainder of 24.
The number 6 becomes the next digit in our result. 
Result so far: 16771.36
If we take 246 away from 270, we end up with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Advancing to step 9:
The number 41 fits into 240 5 times, leaving a remainder of 35.
Record the quotient 5 as the next digit in the result. 
Result so far: 16771.365
Subtract 205 from 240 to get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Let's proceed to step 10:
350 divided by 41 is 8 with a remainder of 22.
Use 8 as the next digit of our solution. 
Result so far: 16771.3658
Deduct 328 from 350 and we're left with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

On to step 11:
41 goes into 220 5 times with a remainder of 15.
Put 5 as the next digit of the answer. 
Result so far: 16771.36585
The remainder is 15 after subtracting 205 from 220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Step 12:
41 goes into 150 3 times with a remainder of 27.
The number 3 becomes the next digit in our result. 
Result so far: 16771.365853
Subtract 123 from 150 to get 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Going ahead to step 13:
The number 41 fits into 270 6 times, leaving a remainder of 24.
Use 6 as the next digit of our solution. 
Result so far: 16771.3658536
If we take 246 away from 270, we end up with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Let's proceed to step 14:
240 divided by 41 is 5 with a remainder of 35.
Record the quotient 5 as the next digit in the result. 
Result so far: 16771.36585365
Deduct 205 from 240 and we're left with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

The final result is 16771.36585365 with a remainder of 3.5e-08.