We're dividing 419043 by 81 
We're looking to find how many times 81 goes into 419043.

Let's proceed to step 1:
The number 81 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
Deduct 0 from 4 and we're left with 4.
Append the next digit (1) from the dividend to 4 and continue with: 41 / 81

Step 2:
41 divided by 81 is 0 with a remainder of 41.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 41 leaves us with 41.
Take the next digit (9) from the dividend and append it to 41, then repeat: 419 / 81

Going ahead to step 3:
The number 81 fits into 419 5 times, leaving a remainder of 14.
The number 5 becomes the next digit in our result. 
Result so far: 5.0
Subtracting 405 from 419 leaves us with 14.
Append the next digit (0) from the dividend to 14 and continue with: 140 / 81

Going ahead to step 4:
If we divide 140 by 81, we get 1 and a remainder of 59.
Record the quotient 1 as the next digit in the result. 
Result so far: 51.0
The remainder is 59 after subtracting 81 from 140.
Take the next digit (4) from the dividend and append it to 59, then repeat: 594 / 81

On to step 5:
594 divided by 81 is 7 with a remainder of 27.
Use 7 as the next digit of our solution. 
Result so far: 517.0
Subtract 567 from 594 to get 27.
Fetch the next digit (3) from the dividend, attach it to 27 and continue: 273 / 81

Moving on to step 6:
81 can be fit into 273 3 times, resulting in a remainder of 30.
Use 3 as the next digit of our solution. 
Result so far: 5173.0
If we subtract 243 from 273, we 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:
81 can be fit into 300 3 times, resulting in a remainder of 57.
Use 3 as the next digit of our solution. 
Result so far: 5173.3
The remainder is 57 after subtracting 243 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

On to step 8:
570 divided by 81 is 7 with a remainder of 3.
Write down 7 as next digit of the result. 
Result so far: 5173.37
If we take 567 away from 570, we end up with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Going ahead to step 9:
The number 81 fits into 30 0 times, leaving a remainder of 30.
Use 0 as the next digit of our solution. 
Result so far: 5173.37
The remainder is 30 after subtracting 0 from 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Moving on to step 10:
When dividing 300 by 81, we get 3 with a remainder of 57.
Put 3 as the next digit of the answer. 
Result so far: 5173.3703
Subtract 243 from 300 to get 57.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

Moving on to step 11:
81 goes into 570 7 times with a remainder of 3.
Put 7 as the next digit of the answer. 
Result so far: 5173.37037
Deduct 567 from 570 and we're left with 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 12:
81 can be fit into 30 0 times, resulting in a remainder of 30.
The next digit of our result is 0. 
Result so far: 5173.37037
Deduct 0 from 30 and we're left 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.

Going ahead to step 13:
If we divide 300 by 81, we get 3 and a remainder of 57.
The next digit of our result is 3. 
Result so far: 5173.3703703
Deduct 243 from 300 and we're left 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.

On to step 14:
81 can be fit into 570 7 times, resulting in a remainder of 3.
Put 7 as the next digit of the answer. 
Result so far: 5173.37037037
The remainder is 3 after subtracting 567 from 570.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

The quotient of the division is 5173.37037037, and the remainder is 3e-09.