We're dividing 406421 by 73 
Our goal is to divide 406421 by 73.

Let's proceed to step 1:
4 divided by 73 is 0 with a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Bring next digit (0) of the dividend behind the 4 and repeat the process: 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 (6) of the dividend behind the 40 and repeat the process: 406 / 73

Going ahead to step 3:
73 can be fit into 406 5 times, resulting in a remainder of 41.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
Subtracting 365 from 406 leaves us with 41.
Bring next digit (4) of the dividend behind the 41 and repeat the process: 414 / 73

Moving on to step 4:
When dividing 414 by 73, we get 5 with a remainder of 49.
The next digit of our result is 5. 
Result so far: 55.0
If we subtract 365 from 414, we get 49.
Grab the next digit (2) from the dividend, add it to 49, then carry on: 492 / 73

Advancing to step 5:
492 divided by 73 is 6 with a remainder of 54.
The next digit of our result is 6. 
Result so far: 556.0
Subtracting 438 from 492 leaves us with 54.
Fetch the next digit (1) from the dividend, attach it to 54 and continue: 541 / 73

Let's proceed to step 6:
If we divide 541 by 73, we get 7 and a remainder of 30.
Use 7 as the next digit of our solution. 
Result so far: 5567.0
Subtract 511 from 541 to get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

On to step 7:
73 can be fit into 300 4 times, resulting in a remainder of 8.
Write down 4 as next digit of the result. 
Result so far: 5567.4
The remainder is 8 after subtracting 292 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 8:
80 divided by 73 is 1 with a remainder of 7.
The next digit of our result is 1. 
Result so far: 5567.41
Subtracting 73 from 80 leaves us with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Step 9:
73 can be fit into 70 0 times, resulting in a remainder of 70.
Put 0 as the next digit of the answer. 
Result so far: 5567.41
If we subtract 0 from 70, we get 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:
73 can be fit into 700 9 times, resulting in a remainder of 43.
Record the quotient 9 as the next digit in the result. 
Result so far: 5567.4109
If we take 657 away from 700, we end up with 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

On to step 11:
If we divide 430 by 73, we get 5 and a remainder of 65.
The number 5 becomes the next digit in our result. 
Result so far: 5567.41095
The remainder is 65 after subtracting 365 from 430.
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 12:
When dividing 650 by 73, we get 8 with a remainder of 66.
The number 8 becomes the next digit in our result. 
Result so far: 5567.410958
Deduct 584 from 650 and we're left with 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

Advancing to step 13:
660 divided by 73 is 9 with a remainder of 3.
The next digit of our result is 9. 
Result so far: 5567.4109589
If we subtract 657 from 660, we get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Moving on to step 14:
If we divide 30 by 73, we get 0 and a remainder of 30.
Write down 0 as next digit of the result. 
Result so far: 5567.4109589
If we take 0 away from 30, we end up with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

After the division, we end up with 5567.4109589 and a remainder of 3e-08.