We're dividing 219469 by 42 
We want to divide 219469 by 42.

On to step 1:
The number 42 fits into 2 0 times, leaving a remainder of 2.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 2 to get 2.
Fetch the next digit (1) from the dividend, attach it to 2 and continue: 21 / 42

Going ahead to step 2:
42 can be fit into 21 0 times, resulting in a remainder of 21.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 21 leaves us with 21.
Append the next digit (9) from the dividend to 21 and continue with: 219 / 42

Advancing to step 3:
42 goes into 219 5 times with a remainder of 9.
Put 5 as the next digit of the answer. 
Result so far: 5.0
Subtracting 210 from 219 leaves us with 9.
Take the next digit (4) from the dividend and append it to 9, then repeat: 94 / 42

Advancing to step 4:
If we divide 94 by 42, we get 2 and a remainder of 10.
Put 2 as the next digit of the answer. 
Result so far: 52.0
The remainder is 10 after subtracting 84 from 94.
Grab the next digit (6) from the dividend, add it to 10, then carry on: 106 / 42

On to step 5:
42 goes into 106 2 times with a remainder of 22.
Put 2 as the next digit of the answer. 
Result so far: 522.0
If we subtract 84 from 106, we get 22.
Bring next digit (9) of the dividend behind the 22 and repeat the process: 229 / 42

Step 6:
42 can be fit into 229 5 times, resulting in a remainder of 19.
Record the quotient 5 as the next digit in the result. 
Result so far: 5225.0
If we subtract 210 from 229, we get 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Moving on to step 7:
If we divide 190 by 42, we get 4 and a remainder of 22.
Write down 4 as next digit of the result. 
Result so far: 5225.4
The remainder is 22 after subtracting 168 from 190.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Moving on to step 8:
If we divide 220 by 42, we get 5 and a remainder of 10.
Put 5 as the next digit of the answer. 
Result so far: 5225.45
The remainder is 10 after subtracting 210 from 220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 9:
42 goes into 100 2 times with a remainder of 16.
Write down 2 as next digit of the result. 
Result so far: 5225.452
Deduct 84 from 100 and we're left with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Advancing to step 10:
The number 42 fits into 160 3 times, leaving a remainder of 34.
Put 3 as the next digit of the answer. 
Result so far: 5225.4523
The remainder is 34 after subtracting 126 from 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Let's proceed to step 11:
If we divide 340 by 42, we get 8 and a remainder of 4.
Put 8 as the next digit of the answer. 
Result so far: 5225.45238
The remainder is 4 after subtracting 336 from 340.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 12:
When dividing 40 by 42, we get 0 with a remainder of 40.
Put 0 as the next digit of the answer. 
Result so far: 5225.45238
Subtract 0 from 40 to get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Let's proceed to step 13:
The number 42 fits into 400 9 times, leaving a remainder of 22.
Put 9 as the next digit of the answer. 
Result so far: 5225.4523809
Subtracting 378 from 400 leaves us 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.

Going ahead to step 14:
42 can be fit into 220 5 times, resulting in a remainder of 10.
Use 5 as the next digit of our solution. 
Result so far: 5225.45238095
If we subtract 210 from 220, 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.

In conclusion, the division gives 5225.45238095 with a balance of 1e-08.