We look at the division of 419340 by 69 
We want to divide 419340 by 69.

Moving on to step 1:
When dividing 4 by 69, we get 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.
Append the next digit (1) from the dividend to 4 and continue with: 41 / 69

Moving on to step 2:
The number 69 fits into 41 0 times, leaving a remainder of 41.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 41 and we're left with 41.
Take the next digit (9) from the dividend and append it to 41, then repeat: 419 / 69

Step 3:
69 goes into 419 6 times with a remainder of 5.
Put 6 as the next digit of the answer. 
Result so far: 6.0
Subtracting 414 from 419 leaves us with 5.
Include the next digit (3) from the dividend after 5, then repeat: 53 / 69

Moving on to step 4:
If we divide 53 by 69, we get 0 and a remainder of 53.
Put 0 as the next digit of the answer. 
Result so far: 60.0
If we take 0 away from 53, we end up with 53.
Append the next digit (4) from the dividend to 53 and continue with: 534 / 69

Going ahead to step 5:
69 goes into 534 7 times with a remainder of 51.
Use 7 as the next digit of our solution. 
Result so far: 607.0
Subtract 483 from 534 to get 51.
Fetch the next digit (0) from the dividend, attach it to 51 and continue: 510 / 69

On to step 6:
The number 69 fits into 510 7 times, leaving a remainder of 27.
Write down 7 as next digit of the result. 
Result so far: 6077.0
If we subtract 483 from 510, we get 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Let's proceed to step 7:
When dividing 270 by 69, we get 3 with a remainder of 63.
The number 3 becomes the next digit in our result. 
Result so far: 6077.3
The remainder is 63 after subtracting 207 from 270.
Since there are no more digits in the dividend, we add a zero to the remainder making it 630, and continue the process.

On to step 8:
69 can be fit into 630 9 times, resulting in a remainder of 9.
Record the quotient 9 as the next digit in the result. 
Result so far: 6077.39
If we subtract 621 from 630, we get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Advancing to step 9:
When dividing 90 by 69, we get 1 with a remainder of 21.
Use 1 as the next digit of our solution. 
Result so far: 6077.391
If we subtract 69 from 90, we get 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Going ahead to step 10:
69 can be fit into 210 3 times, resulting in a remainder of 3.
Write down 3 as next digit of the result. 
Result so far: 6077.3913
If we subtract 207 from 210, 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.

Going ahead to step 11:
The number 69 fits into 30 0 times, leaving a remainder of 30.
Record the quotient 0 as the next digit in the result. 
Result so far: 6077.3913
Subtract 0 from 30 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.

Moving on to step 12:
69 goes into 300 4 times with a remainder of 24.
Put 4 as the next digit of the answer. 
Result so far: 6077.391304
If we subtract 276 from 300, we get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

On to step 13:
When dividing 240 by 69, we get 3 with a remainder of 33.
Use 3 as the next digit of our solution. 
Result so far: 6077.3913043
Deduct 207 from 240 and we're left with 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Moving on to step 14:
The number 69 fits into 330 4 times, leaving a remainder of 54.
The next digit of our result is 4. 
Result so far: 6077.39130434
Subtract 276 from 330 to get 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Our division results in 6077.39130434 with a remaining 5.4e-08.