442432 ÷ 71 
We're looking to find how many times 71 goes into 442432.

On to step 1:
4 divided by 71 is 0 with a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Take the next digit (4) from the dividend and append it to 4, then repeat: 44 / 71

Moving on to step 2:
The number 71 fits into 44 0 times, leaving a remainder of 44.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 44, we get 44.
Append the next digit (2) from the dividend to 44 and continue with: 442 / 71

Going ahead to step 3:
The number 71 fits into 442 6 times, leaving a remainder of 16.
Write down 6 as next digit of the result. 
Result so far: 6.0
Subtracting 426 from 442 leaves us with 16.
Append the next digit (4) from the dividend to 16 and continue with: 164 / 71

Going ahead to step 4:
If we divide 164 by 71, we get 2 and a remainder of 22.
Write down 2 as next digit of the result. 
Result so far: 62.0
The remainder is 22 after subtracting 142 from 164.
Include the next digit (3) from the dividend after 22, then repeat: 223 / 71

On to step 5:
The number 71 fits into 223 3 times, leaving a remainder of 10.
Use 3 as the next digit of our solution. 
Result so far: 623.0
Subtract 213 from 223 to get 10.
Take the next digit (2) from the dividend and append it to 10, then repeat: 102 / 71

Let's proceed to step 6:
71 goes into 102 1 times with a remainder of 31.
The next digit of our result is 1. 
Result so far: 6231.0
Deduct 71 from 102 and we're left with 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Advancing to step 7:
71 can be fit into 310 4 times, resulting in a remainder of 26.
Write down 4 as next digit of the result. 
Result so far: 6231.4
If we take 284 away from 310, we end up with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Step 8:
When dividing 260 by 71, we get 3 with a remainder of 47.
Use 3 as the next digit of our solution. 
Result so far: 6231.43
If we take 213 away from 260, we end up with 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

Let's proceed to step 9:
71 can be fit into 470 6 times, resulting in a remainder of 44.
The number 6 becomes the next digit in our result. 
Result so far: 6231.436
If we take 426 away from 470, we end up with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Advancing to step 10:
71 goes into 440 6 times with a remainder of 14.
Record the quotient 6 as the next digit in the result. 
Result so far: 6231.4366
If we subtract 426 from 440, we get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

The quotient of the division is 6231.4366, and the remainder is 0.00014.