415409 ÷ 53 
Our goal is to divide 415409 by 53.

On to step 1:
The number 53 fits into 4 0 times, leaving a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Bring next digit (1) of the dividend behind the 4 and repeat the process: 41 / 53

On to step 2:
The number 53 fits into 41 0 times, leaving 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.
Include the next digit (5) from the dividend after 41, then repeat: 415 / 53

Let's proceed to step 3:
53 goes into 415 7 times with a remainder of 44.
Use 7 as the next digit of our solution. 
Result so far: 7.0
Deduct 371 from 415 and we're left with 44.
Take the next digit (4) from the dividend and append it to 44, then repeat: 444 / 53

Step 4:
444 divided by 53 is 8 with a remainder of 20.
Use 8 as the next digit of our solution. 
Result so far: 78.0
If we take 424 away from 444, we end up with 20.
Append the next digit (0) from the dividend to 20 and continue with: 200 / 53

On to step 5:
200 divided by 53 is 3 with a remainder of 41.
Put 3 as the next digit of the answer. 
Result so far: 783.0
Subtract 159 from 200 to get 41.
Take the next digit (9) from the dividend and append it to 41, then repeat: 419 / 53

Moving on to step 6:
53 can be fit into 419 7 times, resulting in a remainder of 48.
The next digit of our result is 7. 
Result so far: 7837.0
If we take 371 away from 419, we end up with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Moving on to step 7:
53 goes into 480 9 times with a remainder of 3.
The next digit of our result is 9. 
Result so far: 7837.9
Subtract 477 from 480 to 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.

Advancing to step 8:
When dividing 30 by 53, we get 0 with a remainder of 30.
Write down 0 as next digit of the result. 
Result so far: 7837.9
If we take 0 away from 30, we end up 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.

Advancing to step 9:
The number 53 fits into 300 5 times, leaving a remainder of 35.
The next digit of our result is 5. 
Result so far: 7837.905
If we take 265 away from 300, we end up with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

On to step 10:
350 divided by 53 is 6 with a remainder of 32.
Put 6 as the next digit of the answer. 
Result so far: 7837.9056
Subtract 318 from 350 to get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Going ahead to step 11:
When dividing 320 by 53, we get 6 with a remainder of 2.
Put 6 as the next digit of the answer. 
Result so far: 7837.90566
Deduct 318 from 320 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Our division results in 7837.90566 with a remaining 2e-06.