We look at the division of 433040 by 71 
We want to figure out the number of times 433040 can be divided by 71.

On to step 1:
4 divided by 71 is 0 with a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Grab the next digit (3) from the dividend, add it to 4, then carry on: 43 / 71

Step 2:
43 divided by 71 is 0 with a remainder of 43.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 43 to get 43.
Take the next digit (3) from the dividend and append it to 43, then repeat: 433 / 71

Advancing to step 3:
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: 6.0
Deduct 426 from 433 and we're left with 7.
Grab the next digit (0) from the dividend, add it to 7, then carry on: 70 / 71

Advancing to step 4:
70 divided by 71 is 0 with a remainder of 70.
The next digit of our result is 0. 
Result so far: 60.0
Deduct 0 from 70 and we're left with 70.
Include the next digit (4) from the dividend after 70, then repeat: 704 / 71

Step 5:
71 goes into 704 9 times with a remainder of 65.
Write down 9 as next digit of the result. 
Result so far: 609.0
The remainder is 65 after subtracting 639 from 704.
Take the next digit (0) from the dividend and append it to 65, then repeat: 650 / 71

Advancing to step 6:
650 divided by 71 is 9 with a remainder of 11.
Use 9 as the next digit of our solution. 
Result so far: 6099.0
The remainder is 11 after subtracting 639 from 650.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Moving on to step 7:
71 goes into 110 1 times with a remainder of 39.
The number 1 becomes the next digit in our result. 
Result so far: 6099.1
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.

Going ahead to step 8:
If we divide 390 by 71, we get 5 and a remainder of 35.
The next digit of our result is 5. 
Result so far: 6099.15
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.

Let's proceed to step 9:
350 divided by 71 is 4 with a remainder of 66.
The number 4 becomes the next digit in our result. 
Result so far: 6099.154
If we subtract 284 from 350, we get 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

Going ahead to step 10:
71 goes into 660 9 times with a remainder of 21.
The number 9 becomes the next digit in our result. 
Result so far: 6099.1549
If we subtract 639 from 660, we get 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

On to step 11:
210 divided by 71 is 2 with a remainder of 68.
Use 2 as the next digit of our solution. 
Result so far: 6099.15492
If we take 142 away from 210, we end up 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.

Let's proceed to step 12:
71 can be fit into 680 9 times, resulting in a remainder of 41.
Use 9 as the next digit of our solution. 
Result so far: 6099.154929
The remainder is 41 after subtracting 639 from 680.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Let's proceed to step 13:
410 divided by 71 is 5 with a remainder of 55.
The number 5 becomes the next digit in our result. 
Result so far: 6099.1549295
Deduct 355 from 410 and we're left with 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

On to step 14:
550 divided by 71 is 7 with a remainder of 53.
Use 7 as the next digit of our solution. 
Result so far: 6099.15492957
Subtracting 497 from 550 leaves us 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.

Our division results in 6099.15492957 with a remaining 5.3e-08.