We're dividing 435349 by 71 
We want to figure out the number of times 435349 can be divided by 71.

Advancing to step 1:
If we divide 4 by 71, we get 0 and a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Grab the next digit (3) from the dividend, add it to 4, then carry on: 43 / 71

On to step 2:
43 divided by 71 is 0 with a remainder of 43.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 43 leaves us with 43.
Bring next digit (5) of the dividend behind the 43 and repeat the process: 435 / 71

Advancing to step 3:
435 divided by 71 is 6 with a remainder of 9.
Put 6 as the next digit of the answer. 
Result so far: 6.0
If we take 426 away from 435, we end up with 9.
Include the next digit (3) from the dividend after 9, then repeat: 93 / 71

On to step 4:
71 goes into 93 1 times with a remainder of 22.
The number 1 becomes the next digit in our result. 
Result so far: 61.0
Subtract 71 from 93 to get 22.
Grab the next digit (4) from the dividend, add it to 22, then carry on: 224 / 71

Advancing to step 5:
If we divide 224 by 71, we get 3 and a remainder of 11.
Use 3 as the next digit of our solution. 
Result so far: 613.0
The remainder is 11 after subtracting 213 from 224.
Grab the next digit (9) from the dividend, add it to 11, then carry on: 119 / 71

Step 6:
The number 71 fits into 119 1 times, leaving a remainder of 48.
Put 1 as the next digit of the answer. 
Result so far: 6131.0
If we take 71 away from 119, we end up with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Going ahead to step 7:
When dividing 480 by 71, we get 6 with a remainder of 54.
The next digit of our result is 6. 
Result so far: 6131.6
If we subtract 426 from 480, we get 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Going ahead to step 8:
When dividing 540 by 71, we get 7 with a remainder of 43.
The number 7 becomes the next digit in our result. 
Result so far: 6131.67
If we subtract 497 from 540, we get 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

Going ahead to step 9:
71 can be fit into 430 6 times, resulting in a remainder of 4.
The next digit of our result is 6. 
Result so far: 6131.676
If we take 426 away from 430, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 10:
If we divide 40 by 71, we get 0 and a remainder of 40.
Use 0 as the next digit of our solution. 
Result so far: 6131.676
Deduct 0 from 40 and we're left with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Advancing to step 11:
400 divided by 71 is 5 with a remainder of 45.
Use 5 as the next digit of our solution. 
Result so far: 6131.67605
If we take 355 away from 400, we end up with 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Step 12:
450 divided by 71 is 6 with a remainder of 24.
Write down 6 as next digit of the result. 
Result so far: 6131.676056
Subtract 426 from 450 to get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Step 13:
71 can be fit into 240 3 times, resulting in a remainder of 27.
The next digit of our result is 3. 
Result so far: 6131.6760563
Deduct 213 from 240 and we're left with 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Going ahead to step 14:
The number 71 fits into 270 3 times, leaving a remainder of 57.
The next digit of our result is 3. 
Result so far: 6131.67605633
If we subtract 213 from 270, we get 57.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

Our division results in 6131.67605633 with a remaining 5.7e-08.