319663 ÷ 71 
Our goal is to divide 319663 by 71.

Going ahead to step 1:
71 goes into 3 0 times with a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Grab the next digit (1) from the dividend, add it to 3, then carry on: 31 / 71

Going ahead to step 2:
71 goes into 31 0 times with a remainder of 31.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 31 and we're left with 31.
Append the next digit (9) from the dividend to 31 and continue with: 319 / 71

On to step 3:
71 can be fit into 319 4 times, resulting in a remainder of 35.
Write down 4 as next digit of the result. 
Result so far: 4.0
The remainder is 35 after subtracting 284 from 319.
Include the next digit (6) from the dividend after 35, then repeat: 356 / 71

Moving on to step 4:
356 divided by 71 is 5 with a remainder of 1.
Use 5 as the next digit of our solution. 
Result so far: 45.0
If we take 355 away from 356, we end up with 1.
Bring next digit (6) of the dividend behind the 1 and repeat the process: 16 / 71

Moving on to step 5:
71 can be fit into 16 0 times, resulting in a remainder of 16.
Put 0 as the next digit of the answer. 
Result so far: 450.0
The remainder is 16 after subtracting 0 from 16.
Fetch the next digit (3) from the dividend, attach it to 16 and continue: 163 / 71

On to step 6:
If we divide 163 by 71, we get 2 and a remainder of 21.
The next digit of our result is 2. 
Result so far: 4502.0
If we take 142 away from 163, we end up 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.

Step 7:
When dividing 210 by 71, we get 2 with a remainder of 68.
Write down 2 as next digit of the result. 
Result so far: 4502.2
Subtracting 142 from 210 leaves us 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 8:
When dividing 680 by 71, we get 9 with a remainder of 41.
Use 9 as the next digit of our solution. 
Result so far: 4502.29
Subtracting 639 from 680 leaves us with 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Going ahead to step 9:
When dividing 410 by 71, we get 5 with a remainder of 55.
The next digit of our result is 5. 
Result so far: 4502.295
Subtract 355 from 410 to get 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 10:
71 can be fit into 550 7 times, resulting in a remainder of 53.
The number 7 becomes the next digit in our result. 
Result so far: 4502.2957
Deduct 497 from 550 and we're left 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.

Advancing to step 11:
71 can be fit into 530 7 times, resulting in a remainder of 33.
Write down 7 as next digit of the result. 
Result so far: 4502.29577
Subtract 497 from 530 to get 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

The quotient of the division is 4502.29577, and the remainder is 3.3e-05.