We're dividing 403169 by 71 
We're looking to find how many times 71 goes into 403169.

Let's proceed to step 1:
When dividing 4 by 71, we get 0 with a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Include the next digit (0) from the dividend after 4, then repeat: 40 / 71

Let's proceed to step 2:
71 can be fit into 40 0 times, resulting in a remainder of 40.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 40 after subtracting 0 from 40.
Include the next digit (3) from the dividend after 40, then repeat: 403 / 71

Step 3:
The number 71 fits into 403 5 times, leaving a remainder of 48.
The next digit of our result is 5. 
Result so far: 5.0
Subtracting 355 from 403 leaves us with 48.
Bring next digit (1) of the dividend behind the 48 and repeat the process: 481 / 71

On to step 4:
71 can be fit into 481 6 times, resulting in a remainder of 55.
Record the quotient 6 as the next digit in the result. 
Result so far: 56.0
Subtracting 426 from 481 leaves us with 55.
Append the next digit (6) from the dividend to 55 and continue with: 556 / 71

On to step 5:
If we divide 556 by 71, we get 7 and a remainder of 59.
Write down 7 as next digit of the result. 
Result so far: 567.0
If we subtract 497 from 556, we get 59.
Fetch the next digit (9) from the dividend, attach it to 59 and continue: 599 / 71

Going ahead to step 6:
71 can be fit into 599 8 times, resulting in a remainder of 31.
Write down 8 as next digit of the result. 
Result so far: 5678.0
Deduct 568 from 599 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.

Step 7:
71 can be fit into 310 4 times, resulting in a remainder of 26.
Use 4 as the next digit of our solution. 
Result so far: 5678.4
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.

Going ahead to step 8:
The number 71 fits into 260 3 times, leaving a remainder of 47.
Put 3 as the next digit of the answer. 
Result so far: 5678.43
The remainder is 47 after subtracting 213 from 260.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

Step 9:
If we divide 470 by 71, we get 6 and a remainder of 44.
Put 6 as the next digit of the answer. 
Result so far: 5678.436
The remainder is 44 after subtracting 426 from 470.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

On to step 10:
The number 71 fits into 440 6 times, leaving a remainder of 14.
The next digit of our result is 6. 
Result so far: 5678.4366
Subtracting 426 from 440 leaves us with 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 final outcome is 5678.4366, with a leftover of 0.00014.