Let's divide 679965 by 41
We're looking to find how many times 41 goes into 679965.

Going ahead 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
Deduct 0 from 6 and we're left with 6.
Take the next digit (7) from the dividend and append it to 6, then repeat: 67 / 41

Going ahead to step 2:
41 can be fit into 67 1 times, resulting in 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.
Bring next digit (9) of the dividend behind the 26 and repeat the process: 269 / 41

On to step 3:
If we divide 269 by 41, we get 6 and a remainder of 23.
Write down 6 as next digit of the result. 
Result so far: 16.0
If we take 246 away from 269, we end up with 23.
Grab the next digit (9) from the dividend, add it to 23, then carry on: 239 / 41

Step 4:
41 goes into 239 5 times with a remainder of 34.
The number 5 becomes the next digit in our result. 
Result so far: 165.0
Deduct 205 from 239 and we're left with 34.
Append the next digit (6) from the dividend to 34 and continue with: 346 / 41

Moving on to step 5:
When dividing 346 by 41, we get 8 with a remainder of 18.
Use 8 as the next digit of our solution. 
Result so far: 1658.0
Deduct 328 from 346 and we're left with 18.
Take the next digit (5) from the dividend and append it to 18, then repeat: 185 / 41

Moving on to step 6:
When dividing 185 by 41, we get 4 with a remainder of 21.
Write down 4 as next digit of the result. 
Result so far: 16584.0
Deduct 164 from 185 and we're left 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.

Let's proceed to step 7:
41 can be fit into 210 5 times, resulting in a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 16584.5
The remainder is 5 after subtracting 205 from 210.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 8:
41 can be fit into 50 1 times, resulting in a remainder of 9.
Record the quotient 1 as the next digit in the result. 
Result so far: 16584.51
Subtract 41 from 50 to get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Moving on to step 9:
If we divide 90 by 41, we get 2 and a remainder of 8.
Use 2 as the next digit of our solution. 
Result so far: 16584.512
Deduct 82 from 90 and we're left 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.

Moving on to step 10:
The number 41 fits into 80 1 times, leaving a remainder of 39.
Write down 1 as next digit of the result. 
Result so far: 16584.5121
Subtract 41 from 80 to 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.

Step 11:
390 divided by 41 is 9 with a remainder of 21.
Record the quotient 9 as the next digit in the result. 
Result so far: 16584.51219
Deduct 369 from 390 and we're left 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.

Step 12:
41 goes into 210 5 times with a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 16584.512195
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.

Moving on to step 13:
If we divide 50 by 41, we get 1 and a remainder of 9.
Use 1 as the next digit of our solution. 
Result so far: 16584.5121951
Deduct 41 from 50 and we're left 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.

Let's proceed to step 14:
41 can be fit into 90 2 times, resulting in a remainder of 8.
The number 2 becomes the next digit in our result. 
Result so far: 16584.51219512
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.

The quotient of the division is 16584.51219512, and the remainder is 8e-09.