We divide 416403 by 71
Our goal is to divide 416403 by 71.

Step 1:
71 can be fit into 4 0 times, resulting in a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Grab the next digit (1) from the dividend, add it to 4, then carry on: 41 / 71

Going ahead to step 2:
When dividing 41 by 71, we get 0 with a remainder of 41.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 41, we end up with 41.
Bring next digit (6) of the dividend behind the 41 and repeat the process: 416 / 71

Moving on to step 3:
71 can be fit into 416 5 times, resulting in a remainder of 61.
Write down 5 as next digit of the result. 
Result so far: 5.0
The remainder is 61 after subtracting 355 from 416.
Grab the next digit (4) from the dividend, add it to 61, then carry on: 614 / 71

Step 4:
71 goes into 614 8 times with a remainder of 46.
Record the quotient 8 as the next digit in the result. 
Result so far: 58.0
Subtracting 568 from 614 leaves us with 46.
Grab the next digit (0) from the dividend, add it to 46, then carry on: 460 / 71

Let's proceed to step 5:
The number 71 fits into 460 6 times, leaving a remainder of 34.
The number 6 becomes the next digit in our result. 
Result so far: 586.0
If we take 426 away from 460, we end up with 34.
Take the next digit (3) from the dividend and append it to 34, then repeat: 343 / 71

Going ahead to step 6:
71 can be fit into 343 4 times, resulting in a remainder of 59.
Use 4 as the next digit of our solution. 
Result so far: 5864.0
Deduct 284 from 343 and we're left with 59.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

Let's proceed to step 7:
When dividing 590 by 71, we get 8 with a remainder of 22.
Put 8 as the next digit of the answer. 
Result so far: 5864.8
If we take 568 away from 590, we end up with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Moving on to step 8:
220 divided by 71 is 3 with a remainder of 7.
The next digit of our result is 3. 
Result so far: 5864.83
If we subtract 213 from 220, we get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Moving on to step 9:
71 goes into 70 0 times with a remainder of 70.
Use 0 as the next digit of our solution. 
Result so far: 5864.83
Subtracting 0 from 70 leaves us with 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

On to step 10:
71 can be fit into 700 9 times, resulting in a remainder of 61.
Record the quotient 9 as the next digit in the result. 
Result so far: 5864.8309
Subtracting 639 from 700 leaves us with 61.
Since there are no more digits in the dividend, we add a zero to the remainder making it 610, and continue the process.

Step 11:
When dividing 610 by 71, we get 8 with a remainder of 42.
The number 8 becomes the next digit in our result. 
Result so far: 5864.83098
Deduct 568 from 610 and we're left 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.

Advancing to step 12:
The number 71 fits into 420 5 times, leaving a remainder of 65.
The number 5 becomes the next digit in our result. 
Result so far: 5864.830985
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.

Moving on to step 13:
650 divided by 71 is 9 with a remainder of 11.
The number 9 becomes the next digit in our result. 
Result so far: 5864.8309859
The remainder is 11 after subtracting 639 from 650.
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 14:
If we divide 110 by 71, we get 1 and a remainder of 39.
The next digit of our result is 1. 
Result so far: 5864.83098591
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.

The final result is 5864.83098591 with a remainder of 3.9e-08.