41914 ÷ 633 
We want to divide 41914 by 633.

Step 1:
633 goes into 4 0 times with a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Fetch the next digit (1) from the dividend, attach it to 4 and continue: 41 / 633

Going ahead to step 2:
633 can be fit into 41 0 times, resulting in a remainder of 41.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 41 and we're left with 41.
Bring next digit (9) of the dividend behind the 41 and repeat the process: 419 / 633

Let's proceed to step 3:
If we divide 419 by 633, we get 0 and a remainder of 419.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 419 to get 419.
Append the next digit (1) from the dividend to 419 and continue with: 4191 / 633

Advancing to step 4:
If we divide 4191 by 633, we get 6 and a remainder of 393.
Put 6 as the next digit of the answer. 
Result so far: 6.0
Subtract 3798 from 4191 to get 393.
Bring next digit (4) of the dividend behind the 393 and repeat the process: 3934 / 633

Let's proceed to step 5:
633 can be fit into 3934 6 times, resulting in a remainder of 136.
The next digit of our result is 6. 
Result so far: 66.0
If we take 3798 away from 3934, we end up with 136.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1360, and continue the process.

Step 6:
If we divide 1360 by 633, we get 2 and a remainder of 94.
Put 2 as the next digit of the answer. 
Result so far: 66.2
The remainder is 94 after subtracting 1266 from 1360.
Since there are no more digits in the dividend, we add a zero to the remainder making it 940, and continue the process.

Going ahead to step 7:
633 goes into 940 1 times with a remainder of 307.
Record the quotient 1 as the next digit in the result. 
Result so far: 66.21
If we take 633 away from 940, we end up with 307.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3070, and continue the process.

Moving on to step 8:
If we divide 3070 by 633, we get 4 and a remainder of 538.
The next digit of our result is 4. 
Result so far: 66.214
Subtracting 2532 from 3070 leaves us with 538.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5380, and continue the process.

Moving on to step 9:
633 goes into 5380 8 times with a remainder of 316.
Write down 8 as next digit of the result. 
Result so far: 66.2148
Deduct 5064 from 5380 and we're left with 316.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3160, and continue the process.

Going ahead to step 10:
When dividing 3160 by 633, we get 4 with a remainder of 628.
Put 4 as the next digit of the answer. 
Result so far: 66.21484
If we take 2532 away from 3160, we end up with 628.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6280, and continue the process.

Going ahead to step 11:
When dividing 6280 by 633, we get 9 with a remainder of 583.
Put 9 as the next digit of the answer. 
Result so far: 66.214849
Deduct 5697 from 6280 and we're left with 583.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5830, and continue the process.

Let's proceed to step 12:
When dividing 5830 by 633, we get 9 with a remainder of 133.
Use 9 as the next digit of our solution. 
Result so far: 66.2148499
The remainder is 133 after subtracting 5697 from 5830.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1330, and continue the process.

Our division results in 66.2148499 with a remaining 1.33e-06.