740835 ÷ 71 
Our goal is to divide 740835 by 71.

On to step 1:
When dividing 7 by 71, we get 0 with a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 7, we end up with 7.
Append the next digit (4) from the dividend to 7 and continue with: 74 / 71

Step 2:
The number 71 fits into 74 1 times, leaving a remainder of 3.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we take 71 away from 74, we end up with 3.
Take the next digit (0) from the dividend and append it to 3, then repeat: 30 / 71

Going ahead to step 3:
30 divided by 71 is 0 with a remainder of 30.
Put 0 as the next digit of the answer. 
Result so far: 10.0
Subtracting 0 from 30 leaves us with 30.
Append the next digit (8) from the dividend to 30 and continue with: 308 / 71

Let's proceed to step 4:
71 goes into 308 4 times with a remainder of 24.
Put 4 as the next digit of the answer. 
Result so far: 104.0
If we subtract 284 from 308, we get 24.
Bring next digit (3) of the dividend behind the 24 and repeat the process: 243 / 71

Going ahead to step 5:
The number 71 fits into 243 3 times, leaving a remainder of 30.
The next digit of our result is 3. 
Result so far: 1043.0
Subtract 213 from 243 to get 30.
Grab the next digit (5) from the dividend, add it to 30, then carry on: 305 / 71

Going ahead to step 6:
When dividing 305 by 71, we get 4 with a remainder of 21.
Write down 4 as next digit of the result. 
Result so far: 10434.0
Subtracting 284 from 305 leaves us with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Moving on to step 7:
When dividing 210 by 71, we get 2 with a remainder of 68.
The next digit of our result is 2. 
Result so far: 10434.2
Subtracting 142 from 210 leaves us with 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Moving on to step 8:
71 goes into 680 9 times with a remainder of 41.
Use 9 as the next digit of our solution. 
Result so far: 10434.29
If we subtract 639 from 680, we get 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Going ahead to step 9:
410 divided by 71 is 5 with a remainder of 55.
Write down 5 as next digit of the result. 
Result so far: 10434.295
The remainder is 55 after subtracting 355 from 410.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Let's proceed to step 10:
The number 71 fits into 550 7 times, leaving a remainder of 53.
The next digit of our result is 7. 
Result so far: 10434.2957
If we take 497 away from 550, we end up with 53.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

Advancing to step 11:
71 can be fit into 530 7 times, resulting in a remainder of 33.
Use 7 as the next digit of our solution. 
Result so far: 10434.29577
Deduct 497 from 530 and we're left 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.

Our division results in 10434.29577 with a remaining 3.3e-05.