407814 ÷ 73 
Our goal is to divide 407814 by 73.

Step 1:
The number 73 fits into 4 0 times, leaving a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Append the next digit (0) from the dividend to 4 and continue with: 40 / 73

Moving on to step 2:
73 can be fit into 40 0 times, resulting in a remainder of 40.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 40, we get 40.
Bring next digit (7) of the dividend behind the 40 and repeat the process: 407 / 73

On to step 3:
If we divide 407 by 73, we get 5 and a remainder of 42.
Use 5 as the next digit of our solution. 
Result so far: 5.0
Deduct 365 from 407 and we're left with 42.
Append the next digit (8) from the dividend to 42 and continue with: 428 / 73

Let's proceed to step 4:
If we divide 428 by 73, we get 5 and a remainder of 63.
The next digit of our result is 5. 
Result so far: 55.0
If we take 365 away from 428, we end up with 63.
Take the next digit (1) from the dividend and append it to 63, then repeat: 631 / 73

On to step 5:
When dividing 631 by 73, we get 8 with a remainder of 47.
Write down 8 as next digit of the result. 
Result so far: 558.0
The remainder is 47 after subtracting 584 from 631.
Append the next digit (4) from the dividend to 47 and continue with: 474 / 73

Going ahead to step 6:
The number 73 fits into 474 6 times, leaving a remainder of 36.
Record the quotient 6 as the next digit in the result. 
Result so far: 5586.0
Subtract 438 from 474 to get 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Let's proceed to step 7:
If we divide 360 by 73, we get 4 and a remainder of 68.
The next digit of our result is 4. 
Result so far: 5586.4
If we subtract 292 from 360, we get 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Step 8:
If we divide 680 by 73, we get 9 and a remainder of 23.
Use 9 as the next digit of our solution. 
Result so far: 5586.49
If we subtract 657 from 680, we get 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Let's proceed to step 9:
73 goes into 230 3 times with a remainder of 11.
The number 3 becomes the next digit in our result. 
Result so far: 5586.493
Subtracting 219 from 230 leaves us with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Step 10:
When dividing 110 by 73, we get 1 with a remainder of 37.
Use 1 as the next digit of our solution. 
Result so far: 5586.4931
Deduct 73 from 110 and we're left with 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Let's proceed to step 11:
73 goes into 370 5 times with a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 5586.49315
Subtracting 365 from 370 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed to step 12:
The number 73 fits into 50 0 times, leaving a remainder of 50.
Use 0 as the next digit of our solution. 
Result so far: 5586.49315
If we subtract 0 from 50, we get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Step 13:
73 can be fit into 500 6 times, resulting in a remainder of 62.
The number 6 becomes the next digit in our result. 
Result so far: 5586.4931506
If we take 438 away from 500, we end up with 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

Advancing to step 14:
If we divide 620 by 73, we get 8 and a remainder of 36.
Put 8 as the next digit of the answer. 
Result so far: 5586.49315068
Deduct 584 from 620 and we're left with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

The quotient of the division is 5586.49315068, and the remainder is 3.6e-08.