We look at the division of 41222682 by 260 
Our goal is to divide 41222682 by 260.

Advancing to step 1:
When dividing 4 by 260, we get 0 with a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Grab the next digit (1) from the dividend, add it to 4, then carry on: 41 / 260

Moving on to step 2:
260 goes into 41 0 times with a remainder of 41.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 41, we get 41.
Fetch the next digit (2) from the dividend, attach it to 41 and continue: 412 / 260

Moving on to step 3:
260 goes into 412 1 times with a remainder of 152.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtract 260 from 412 to get 152.
Fetch the next digit (2) from the dividend, attach it to 152 and continue: 1522 / 260

On to step 4:
The number 260 fits into 1522 5 times, leaving a remainder of 222.
The next digit of our result is 5. 
Result so far: 15.0
The remainder is 222 after subtracting 1300 from 1522.
Append the next digit (2) from the dividend to 222 and continue with: 2222 / 260

On to step 5:
If we divide 2222 by 260, we get 8 and a remainder of 142.
The number 8 becomes the next digit in our result. 
Result so far: 158.0
Deduct 2080 from 2222 and we're left with 142.
Append the next digit (6) from the dividend to 142 and continue with: 1426 / 260

Let's proceed to step 6:
When dividing 1426 by 260, we get 5 with a remainder of 126.
Record the quotient 5 as the next digit in the result. 
Result so far: 1585.0
The remainder is 126 after subtracting 1300 from 1426.
Grab the next digit (8) from the dividend, add it to 126, then carry on: 1268 / 260

Advancing to step 7:
260 can be fit into 1268 4 times, resulting in a remainder of 228.
The next digit of our result is 4. 
Result so far: 15854.0
Subtract 1040 from 1268 to get 228.
Fetch the next digit (2) from the dividend, attach it to 228 and continue: 2282 / 260

Moving on to step 8:
260 goes into 2282 8 times with a remainder of 202.
Use 8 as the next digit of our solution. 
Result so far: 158548.0
If we take 2080 away from 2282, we end up with 202.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2020, and continue the process.

Moving on to step 9:
260 can be fit into 2020 7 times, resulting in a remainder of 200.
Use 7 as the next digit of our solution. 
Result so far: 158548.7
If we subtract 1820 from 2020, we get 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2000, and continue the process.

Let's proceed to step 10:
When dividing 2000 by 260, we get 7 with a remainder of 180.
The next digit of our result is 7. 
Result so far: 158548.77
Subtracting 1820 from 2000 leaves us with 180.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1800, and continue the process.

The quotient of the division is 158548.77, and the remainder is 0.18.