Let's divide 705314 by 41
We want to divide 705314 by 41.

Step 1:
If we divide 7 by 41, we get 0 and a remainder of 7.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 7, we end up with 7.
Append the next digit (0) from the dividend to 7 and continue with: 70 / 41

Advancing to step 2:
41 goes into 70 1 times with a remainder of 29.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtracting 41 from 70 leaves us with 29.
Bring next digit (5) of the dividend behind the 29 and repeat the process: 295 / 41

Going ahead to step 3:
295 divided by 41 is 7 with a remainder of 8.
The number 7 becomes the next digit in our result. 
Result so far: 17.0
Subtract 287 from 295 to get 8.
Append the next digit (3) from the dividend to 8 and continue with: 83 / 41

Advancing to step 4:
83 divided by 41 is 2 with a remainder of 1.
Record the quotient 2 as the next digit in the result. 
Result so far: 172.0
Subtracting 82 from 83 leaves us with 1.
Bring next digit (1) of the dividend behind the 1 and repeat the process: 11 / 41

Advancing to step 5:
If we divide 11 by 41, we get 0 and a remainder of 11.
The next digit of our result is 0. 
Result so far: 1720.0
Subtract 0 from 11 to get 11.
Include the next digit (4) from the dividend after 11, then repeat: 114 / 41

On to step 6:
The number 41 fits into 114 2 times, leaving a remainder of 32.
Use 2 as the next digit of our solution. 
Result so far: 17202.0
Deduct 82 from 114 and we're left 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 7:
41 can be fit into 320 7 times, resulting in a remainder of 33.
Use 7 as the next digit of our solution. 
Result so far: 17202.7
Subtracting 287 from 320 leaves us with 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Advancing to step 8:
41 goes into 330 8 times with a remainder of 2.
The number 8 becomes the next digit in our result. 
Result so far: 17202.78
Deduct 328 from 330 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 9:
41 goes into 20 0 times with a remainder of 20.
The next digit of our result is 0. 
Result so far: 17202.78
Deduct 0 from 20 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Let's proceed to step 10:
If we divide 200 by 41, we get 4 and a remainder of 36.
The number 4 becomes the next digit in our result. 
Result so far: 17202.7804
The remainder is 36 after subtracting 164 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

On to step 11:
If we divide 360 by 41, we get 8 and a remainder of 32.
Use 8 as the next digit of our solution. 
Result so far: 17202.78048
If we take 328 away from 360, 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.

Step 12:
320 divided by 41 is 7 with a remainder of 33.
Record the quotient 7 as the next digit in the result. 
Result so far: 17202.780487
If we subtract 287 from 320, we get 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

On to step 13:
330 divided by 41 is 8 with a remainder of 2.
Record the quotient 8 as the next digit in the result. 
Result so far: 17202.7804878
If we take 328 away from 330, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 14:
41 can be fit into 20 0 times, resulting in a remainder of 20.
Use 0 as the next digit of our solution. 
Result so far: 17202.7804878
Deduct 0 from 20 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Our division results in 17202.7804878 with a remaining 2e-08.