433383 divided by 71 
Our goal is to divide 433383 by 71.

Advancing to step 1:
When dividing 4 by 71, we get 0 with a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Fetch the next digit (3) from the dividend, attach it to 4 and continue: 43 / 71

Moving on to step 2:
71 can be fit into 43 0 times, resulting in a remainder of 43.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 43 to get 43.
Grab the next digit (3) from the dividend, add it to 43, then carry on: 433 / 71

Moving on to step 3:
71 goes into 433 6 times with a remainder of 7.
Write down 6 as next digit of the result. 
Result so far: 6.0
Subtract 426 from 433 to get 7.
Bring next digit (3) of the dividend behind the 7 and repeat the process: 73 / 71

Moving on to step 4:
When dividing 73 by 71, we get 1 with a remainder of 2.
Write down 1 as next digit of the result. 
Result so far: 61.0
If we take 71 away from 73, we end up with 2.
Bring next digit (8) of the dividend behind the 2 and repeat the process: 28 / 71

On to step 5:
When dividing 28 by 71, we get 0 with a remainder of 28.
Use 0 as the next digit of our solution. 
Result so far: 610.0
Subtract 0 from 28 to get 28.
Bring next digit (3) of the dividend behind the 28 and repeat the process: 283 / 71

Step 6:
If we divide 283 by 71, we get 3 and a remainder of 70.
Write down 3 as next digit of the result. 
Result so far: 6103.0
Subtract 213 from 283 to get 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Going ahead to step 7:
71 can be fit into 700 9 times, resulting in a remainder of 61.
Write down 9 as next digit of the result. 
Result so far: 6103.9
Subtract 639 from 700 to 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.

Moving on to step 8:
The number 71 fits into 610 8 times, leaving a remainder of 42.
The number 8 becomes the next digit in our result. 
Result so far: 6103.98
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.

Going ahead to step 9:
When dividing 420 by 71, we get 5 with a remainder of 65.
The number 5 becomes the next digit in our result. 
Result so far: 6103.985
Deduct 355 from 420 and we're left 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.

On to step 10:
71 goes into 650 9 times with a remainder of 11.
Record the quotient 9 as the next digit in the result. 
Result so far: 6103.9859
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.

Advancing to step 11:
When dividing 110 by 71, we get 1 with a remainder of 39.
Put 1 as the next digit of the answer. 
Result so far: 6103.98591
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 12:
71 can be fit into 390 5 times, resulting in a remainder of 35.
Put 5 as the next digit of the answer. 
Result so far: 6103.985915
If we take 355 away from 390, we end up 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 13:
350 divided by 71 is 4 with a remainder of 66.
Use 4 as the next digit of our solution. 
Result so far: 6103.9859154
Deduct 284 from 350 and we're left 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.

Moving on to step 14:
71 goes into 660 9 times with a remainder of 21.
Use 9 as the next digit of our solution. 
Result so far: 6103.98591549
Subtracting 639 from 660 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.

After the division, we end up with 6103.98591549 and a remainder of 2.1e-08.