We look at the division of 66968 by 41 
Our goal is to divide 66968 by 41.

Moving on to step 1:
41 can be fit into 6 0 times, resulting in a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Grab the next digit (6) from the dividend, add it to 6, then carry on: 66 / 41

On to step 2:
When dividing 66 by 41, we get 1 with a remainder of 25.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we take 41 away from 66, we end up with 25.
Include the next digit (9) from the dividend after 25, then repeat: 259 / 41

Advancing to step 3:
41 can be fit into 259 6 times, resulting in a remainder of 13.
Use 6 as the next digit of our solution. 
Result so far: 16.0
Deduct 246 from 259 and we're left with 13.
Bring next digit (6) of the dividend behind the 13 and repeat the process: 136 / 41

On to step 4:
41 goes into 136 3 times with a remainder of 13.
The number 3 becomes the next digit in our result. 
Result so far: 163.0
If we take 123 away from 136, we end up with 13.
Include the next digit (8) from the dividend after 13, then repeat: 138 / 41

Step 5:
138 divided by 41 is 3 with a remainder of 15.
Record the quotient 3 as the next digit in the result. 
Result so far: 1633.0
If we take 123 away from 138, we end up with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Moving on to step 6:
41 can be fit into 150 3 times, resulting in a remainder of 27.
Use 3 as the next digit of our solution. 
Result so far: 1633.3
The remainder is 27 after subtracting 123 from 150.
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 7:
270 divided by 41 is 6 with a remainder of 24.
Put 6 as the next digit of the answer. 
Result so far: 1633.36
Subtracting 246 from 270 leaves us 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.

Going ahead to step 8:
240 divided by 41 is 5 with a remainder of 35.
The number 5 becomes the next digit in our result. 
Result so far: 1633.365
The remainder is 35 after subtracting 205 from 240.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Advancing to step 9:
350 divided by 41 is 8 with a remainder of 22.
The next digit of our result is 8. 
Result so far: 1633.3658
Subtract 328 from 350 to get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Let's proceed to step 10:
41 can be fit into 220 5 times, resulting in a remainder of 15.
Write down 5 as next digit of the result. 
Result so far: 1633.36585
If we take 205 away from 220, we end up with 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 11:
41 can be fit into 150 3 times, resulting in a remainder of 27.
The next digit of our result is 3. 
Result so far: 1633.365853
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.

On to step 12:
270 divided by 41 is 6 with a remainder of 24.
Use 6 as the next digit of our solution. 
Result so far: 1633.3658536
If we subtract 246 from 270, we get 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 13:
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: 1633.36585365
If we take 205 away from 240, we end up 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.

After the division, we end up with 1633.36585365 and a remainder of 3.5e-08.