We look at the division of 419690 by 73 
Let's see how many times 73 fits into 419690.

Going ahead to step 1:
The number 73 fits into 4 0 times, leaving a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Take the next digit (1) from the dividend and append it to 4, then repeat: 41 / 73

On to step 2:
73 goes into 41 0 times with a remainder of 41.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 41 to get 41.
Append the next digit (9) from the dividend to 41 and continue with: 419 / 73

Going ahead to step 3:
When dividing 419 by 73, we get 5 with a remainder of 54.
Use 5 as the next digit of our solution. 
Result so far: 5.0
The remainder is 54 after subtracting 365 from 419.
Grab the next digit (6) from the dividend, add it to 54, then carry on: 546 / 73

Let's proceed to step 4:
The number 73 fits into 546 7 times, leaving a remainder of 35.
The number 7 becomes the next digit in our result. 
Result so far: 57.0
If we subtract 511 from 546, we get 35.
Grab the next digit (9) from the dividend, add it to 35, then carry on: 359 / 73

On to step 5:
When dividing 359 by 73, we get 4 with a remainder of 67.
Write down 4 as next digit of the result. 
Result so far: 574.0
If we subtract 292 from 359, we get 67.
Bring next digit (0) of the dividend behind the 67 and repeat the process: 670 / 73

Going ahead to step 6:
The number 73 fits into 670 9 times, leaving a remainder of 13.
Record the quotient 9 as the next digit in the result. 
Result so far: 5749.0
If we take 657 away from 670, we end up with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Let's proceed to step 7:
The number 73 fits into 130 1 times, leaving a remainder of 57.
Write down 1 as next digit of the result. 
Result so far: 5749.1
If we take 73 away from 130, we end up with 57.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

Step 8:
73 can be fit into 570 7 times, resulting in a remainder of 59.
Write down 7 as next digit of the result. 
Result so far: 5749.17
The remainder is 59 after subtracting 511 from 570.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

Step 9:
When dividing 590 by 73, we get 8 with a remainder of 6.
Put 8 as the next digit of the answer. 
Result so far: 5749.178
The remainder is 6 after subtracting 584 from 590.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Going ahead to step 10:
When dividing 60 by 73, we get 0 with a remainder of 60.
The next digit of our result is 0. 
Result so far: 5749.178
The remainder is 60 after subtracting 0 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

On to step 11:
73 goes into 600 8 times with a remainder of 16.
Write down 8 as next digit of the result. 
Result so far: 5749.17808
Subtract 584 from 600 to get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

On to step 12:
160 divided by 73 is 2 with a remainder of 14.
Write down 2 as next digit of the result. 
Result so far: 5749.178082
If we take 146 away from 160, we end up 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.

Moving on to step 13:
The number 73 fits into 140 1 times, leaving a remainder of 67.
Record the quotient 1 as the next digit in the result. 
Result so far: 5749.1780821
The remainder is 67 after subtracting 73 from 140.
Since there are no more digits in the dividend, we add a zero to the remainder making it 670, and continue the process.

Advancing to step 14:
670 divided by 73 is 9 with a remainder of 13.
The next digit of our result is 9. 
Result so far: 5749.17808219
Subtract 657 from 670 to get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

The final result is 5749.17808219 with a remainder of 1.3e-08.