We look at the division of 446 by 71 
We're looking to find how many times 71 goes into 446.

Let's proceed 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
Subtract 0 from 4 to get 4.
Append the next digit (4) from the dividend to 4 and continue with: 44 / 71

Step 2:
When dividing 44 by 71, we get 0 with a remainder of 44.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 44, we get 44.
Include the next digit (6) from the dividend after 44, then repeat: 446 / 71

On to step 3:
If we divide 446 by 71, we get 6 and a remainder of 20.
Put 6 as the next digit of the answer. 
Result so far: 6.0
Subtracting 426 from 446 leaves us with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 4:
If we divide 200 by 71, we get 2 and a remainder of 58.
Put 2 as the next digit of the answer. 
Result so far: 6.2
Deduct 142 from 200 and we're left with 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Step 5:
When dividing 580 by 71, we get 8 with a remainder of 12.
The next digit of our result is 8. 
Result so far: 6.28
Subtracting 568 from 580 leaves us with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Advancing to step 6:
71 can be fit into 120 1 times, resulting in a remainder of 49.
Put 1 as the next digit of the answer. 
Result so far: 6.281
If we take 71 away from 120, we end up with 49.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

Let's proceed to step 7:
The number 71 fits into 490 6 times, leaving a remainder of 64.
Put 6 as the next digit of the answer. 
Result so far: 6.2816
Deduct 426 from 490 and we're left with 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

On to step 8:
The number 71 fits into 640 9 times, leaving a remainder of 1.
Record the quotient 9 as the next digit in the result. 
Result so far: 6.28169
If we take 639 away from 640, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 9:
71 goes into 10 0 times with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 6.28169
If we take 0 away from 10, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 10:
If we divide 100 by 71, we get 1 and a remainder of 29.
Write down 1 as next digit of the result. 
Result so far: 6.2816901
Deduct 71 from 100 and we're left with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Moving on to step 11:
71 can be fit into 290 4 times, resulting in a remainder of 6.
Use 4 as the next digit of our solution. 
Result so far: 6.28169014
Subtract 284 from 290 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Our division results in 6.28169014 with a remaining 6e-09.