We're dividing 418221 by 53 
We're looking to find how many times 53 goes into 418221.

Let's proceed to step 1:
4 divided by 53 is 0 with a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Grab the next digit (1) from the dividend, add it to 4, then carry on: 41 / 53

On to step 2:
53 can be fit into 41 0 times, resulting in a remainder of 41.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 41, we get 41.
Append the next digit (8) from the dividend to 41 and continue with: 418 / 53

Let's proceed to step 3:
When dividing 418 by 53, we get 7 with a remainder of 47.
Use 7 as the next digit of our solution. 
Result so far: 7.0
The remainder is 47 after subtracting 371 from 418.
Grab the next digit (2) from the dividend, add it to 47, then carry on: 472 / 53

Let's proceed to step 4:
The number 53 fits into 472 8 times, leaving a remainder of 48.
Write down 8 as next digit of the result. 
Result so far: 78.0
The remainder is 48 after subtracting 424 from 472.
Grab the next digit (2) from the dividend, add it to 48, then carry on: 482 / 53

Going ahead to step 5:
482 divided by 53 is 9 with a remainder of 5.
The next digit of our result is 9. 
Result so far: 789.0
The remainder is 5 after subtracting 477 from 482.
Bring next digit (1) of the dividend behind the 5 and repeat the process: 51 / 53

Let's proceed to step 6:
53 can be fit into 51 0 times, resulting in a remainder of 51.
Write down 0 as next digit of the result. 
Result so far: 7890.0
If we take 0 away from 51, we end up with 51.
Since there are no more digits in the dividend, we add a zero to the remainder making it 510, and continue the process.

On to step 7:
53 can be fit into 510 9 times, resulting in a remainder of 33.
Write down 9 as next digit of the result. 
Result so far: 7890.9
If we subtract 477 from 510, we get 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Going ahead to step 8:
330 divided by 53 is 6 with a remainder of 12.
Record the quotient 6 as the next digit in the result. 
Result so far: 7890.96
Subtract 318 from 330 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

On to step 9:
If we divide 120 by 53, we get 2 and a remainder of 14.
Use 2 as the next digit of our solution. 
Result so far: 7890.962
Subtracting 106 from 120 leaves us 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.

On to step 10:
140 divided by 53 is 2 with a remainder of 34.
Use 2 as the next digit of our solution. 
Result so far: 7890.9622
If we subtract 106 from 140, we get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

After the division, we end up with 7890.9622 and a remainder of 0.00034.