We divide 710433 by 71
We want to figure out the number of times 710433 can be divided by 71.

Going ahead 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
The remainder is 7 after subtracting 0 from 7.
Include the next digit (1) from the dividend after 7, then repeat: 71 / 71

On to step 2:
If we divide 71 by 71, we get 1 and a remainder of 0.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtracting 71 from 71 leaves us with 0.
Bring next digit (0) of the dividend behind the 0 and repeat the process: 0 / 71

Step 3:
71 goes into 0 0 times with a remainder of 0.
The next digit of our result is 0. 
Result so far: 10.0
If we take 0 away from 0, we end up with 0.
Bring next digit (4) of the dividend behind the 0 and repeat the process: 4 / 71

Moving on to step 4:
4 divided by 71 is 0 with a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 100.0
Deduct 0 from 4 and we're left with 4.
Fetch the next digit (3) from the dividend, attach it to 4 and continue: 43 / 71

Step 5:
If we divide 43 by 71, we get 0 and a remainder of 43.
Put 0 as the next digit of the answer. 
Result so far: 1000.0
Deduct 0 from 43 and we're left with 43.
Grab the next digit (3) from the dividend, add it to 43, then carry on: 433 / 71

Moving on to step 6:
When dividing 433 by 71, we get 6 with a remainder of 7.
The number 6 becomes the next digit in our result. 
Result so far: 10006.0
If we subtract 426 from 433, we get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

On to step 7:
If we divide 70 by 71, we get 0 and a remainder of 70.
Write down 0 as next digit of the result. 
Result so far: 10006.0
Subtracting 0 from 70 leaves us with 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Advancing to step 8:
The number 71 fits into 700 9 times, leaving a remainder of 61.
Put 9 as the next digit of the answer. 
Result so far: 10006.09
If we subtract 639 from 700, we get 61.
Since there are no more digits in the dividend, we add a zero to the remainder making it 610, and continue the process.

On to step 9:
The number 71 fits into 610 8 times, leaving a remainder of 42.
Record the quotient 8 as the next digit in the result. 
Result so far: 10006.098
If we take 568 away from 610, we end up with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Step 10:
The number 71 fits into 420 5 times, leaving a remainder of 65.
The number 5 becomes the next digit in our result. 
Result so far: 10006.0985
If we take 355 away from 420, we end up with 65.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

Advancing to step 11:
71 can be fit into 650 9 times, resulting in a remainder of 11.
The number 9 becomes the next digit in our result. 
Result so far: 10006.09859
Subtract 639 from 650 to get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

On to step 12:
110 divided by 71 is 1 with a remainder of 39.
The next digit of our result is 1. 
Result so far: 10006.098591
If we take 71 away from 110, we end up with 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Moving on to step 13:
The number 71 fits into 390 5 times, leaving a remainder of 35.
Put 5 as the next digit of the answer. 
Result so far: 10006.0985915
Subtracting 355 from 390 leaves us with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

On to step 14:
350 divided by 71 is 4 with a remainder of 66.
The next digit of our result is 4. 
Result so far: 10006.09859154
Subtracting 284 from 350 leaves us with 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

The quotient of the division is 10006.09859154, and the remainder is 6.6e-08.