We're dividing 354644 by 73 
We want to divide 354644 by 73.

Advancing to step 1:
If we divide 3 by 73, we get 0 and a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Bring next digit (5) of the dividend behind the 3 and repeat the process: 35 / 73

Step 2:
73 goes into 35 0 times with a remainder of 35.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 35, we end up with 35.
Bring next digit (4) of the dividend behind the 35 and repeat the process: 354 / 73

Moving on to step 3:
73 can be fit into 354 4 times, resulting in a remainder of 62.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
The remainder is 62 after subtracting 292 from 354.
Bring next digit (6) of the dividend behind the 62 and repeat the process: 626 / 73

Let's proceed to step 4:
When dividing 626 by 73, we get 8 with a remainder of 42.
The number 8 becomes the next digit in our result. 
Result so far: 48.0
Subtract 584 from 626 to get 42.
Take the next digit (4) from the dividend and append it to 42, then repeat: 424 / 73

Moving on to step 5:
424 divided by 73 is 5 with a remainder of 59.
Write down 5 as next digit of the result. 
Result so far: 485.0
If we take 365 away from 424, we end up with 59.
Fetch the next digit (4) from the dividend, attach it to 59 and continue: 594 / 73

Step 6:
594 divided by 73 is 8 with a remainder of 10.
The next digit of our result is 8. 
Result so far: 4858.0
If we subtract 584 from 594, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 7:
If we divide 100 by 73, we get 1 and a remainder of 27.
Put 1 as the next digit of the answer. 
Result so far: 4858.1
Deduct 73 from 100 and we're left with 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Advancing to step 8:
If we divide 270 by 73, we get 3 and a remainder of 51.
Put 3 as the next digit of the answer. 
Result so far: 4858.13
Deduct 219 from 270 and we're left with 51.
Since there are no more digits in the dividend, we add a zero to the remainder making it 510, and continue the process.

Advancing to step 9:
510 divided by 73 is 6 with a remainder of 72.
Use 6 as the next digit of our solution. 
Result so far: 4858.136
If we take 438 away from 510, we end up with 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

Moving on to step 10:
When dividing 720 by 73, we get 9 with a remainder of 63.
The next digit of our result is 9. 
Result so far: 4858.1369
If we subtract 657 from 720, we get 63.
Since there are no more digits in the dividend, we add a zero to the remainder making it 630, and continue the process.

Let's proceed to step 11:
The number 73 fits into 630 8 times, leaving a remainder of 46.
Write down 8 as next digit of the result. 
Result so far: 4858.13698
The remainder is 46 after subtracting 584 from 630.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Step 12:
73 goes into 460 6 times with a remainder of 22.
The next digit of our result is 6. 
Result so far: 4858.136986
Deduct 438 from 460 and we're left 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.

Let's proceed to step 13:
If we divide 220 by 73, we get 3 and a remainder of 1.
Write down 3 as next digit of the result. 
Result so far: 4858.1369863
Subtracting 219 from 220 leaves us with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Advancing to step 14:
If we divide 10 by 73, we get 0 and a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 4858.1369863
Deduct 0 from 10 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

In conclusion, the division gives 4858.1369863 with a balance of 1e-08.