41966 ÷ 48 
Our goal is to divide 41966 by 48.

Moving on to step 1:
48 can be fit into 4 0 times, resulting in a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Fetch the next digit (1) from the dividend, attach it to 4 and continue: 41 / 48

Advancing to step 2:
When dividing 41 by 48, we get 0 with a remainder of 41.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 41, we get 41.
Fetch the next digit (9) from the dividend, attach it to 41 and continue: 419 / 48

Moving on to step 3:
When dividing 419 by 48, we get 8 with a remainder of 35.
The number 8 becomes the next digit in our result. 
Result so far: 8.0
If we take 384 away from 419, we end up with 35.
Take the next digit (6) from the dividend and append it to 35, then repeat: 356 / 48

Going ahead to step 4:
356 divided by 48 is 7 with a remainder of 20.
Use 7 as the next digit of our solution. 
Result so far: 87.0
Deduct 336 from 356 and we're left with 20.
Append the next digit (6) from the dividend to 20 and continue with: 206 / 48

Going ahead to step 5:
If we divide 206 by 48, we get 4 and a remainder of 14.
Write down 4 as next digit of the result. 
Result so far: 874.0
The remainder is 14 after subtracting 192 from 206.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Step 6:
When dividing 140 by 48, we get 2 with a remainder of 44.
Write down 2 as next digit of the result. 
Result so far: 874.2
If we take 96 away from 140, we end up with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Advancing to step 7:
The number 48 fits into 440 9 times, leaving a remainder of 8.
Use 9 as the next digit of our solution. 
Result so far: 874.29
If we take 432 away from 440, we end up 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.

Advancing to step 8:
80 divided by 48 is 1 with a remainder of 32.
Record the quotient 1 as the next digit in the result. 
Result so far: 874.291
The remainder is 32 after subtracting 48 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

On to step 9:
If we divide 320 by 48, we get 6 and a remainder of 32.
Use 6 as the next digit of our solution. 
Result so far: 874.2916
If we take 288 away from 320, we end up with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Going ahead to step 10:
The number 48 fits into 320 6 times, leaving a remainder of 32.
Write down 6 as next digit of the result. 
Result so far: 874.29166
Subtracting 288 from 320 leaves us with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

The final outcome is 874.29166, with a leftover of 3.2e-05.