435508 divided by 53 
We're looking to find how many times 53 goes into 435508.

Step 1:
When dividing 4 by 53, we get 0 with a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Include the next digit (3) from the dividend after 4, then repeat: 43 / 53

Let's proceed to step 2:
The number 53 fits into 43 0 times, leaving a remainder of 43.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 43 leaves us with 43.
Bring next digit (5) of the dividend behind the 43 and repeat the process: 435 / 53

On to step 3:
53 can be fit into 435 8 times, resulting in a remainder of 11.
The number 8 becomes the next digit in our result. 
Result so far: 8.0
Subtracting 424 from 435 leaves us with 11.
Include the next digit (5) from the dividend after 11, then repeat: 115 / 53

Advancing to step 4:
When dividing 115 by 53, we get 2 with a remainder of 9.
The next digit of our result is 2. 
Result so far: 82.0
Subtracting 106 from 115 leaves us with 9.
Grab the next digit (0) from the dividend, add it to 9, then carry on: 90 / 53

Step 5:
53 can be fit into 90 1 times, resulting in a remainder of 37.
Put 1 as the next digit of the answer. 
Result so far: 821.0
Deduct 53 from 90 and we're left with 37.
Grab the next digit (8) from the dividend, add it to 37, then carry on: 378 / 53

Moving on to step 6:
When dividing 378 by 53, we get 7 with a remainder of 7.
Record the quotient 7 as the next digit in the result. 
Result so far: 8217.0
The remainder is 7 after subtracting 371 from 378.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Step 7:
53 can be fit into 70 1 times, resulting in a remainder of 17.
Use 1 as the next digit of our solution. 
Result so far: 8217.1
Subtract 53 from 70 to get 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Step 8:
The number 53 fits into 170 3 times, leaving a remainder of 11.
Put 3 as the next digit of the answer. 
Result so far: 8217.13
If we subtract 159 from 170, we get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

On to step 9:
The number 53 fits into 110 2 times, leaving a remainder of 4.
Write down 2 as next digit of the result. 
Result so far: 8217.132
If we subtract 106 from 110, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 10:
53 can be fit into 40 0 times, resulting in a remainder of 40.
Put 0 as the next digit of the answer. 
Result so far: 8217.132
The remainder is 40 after subtracting 0 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Moving on to step 11:
400 divided by 53 is 7 with a remainder of 29.
Use 7 as the next digit of our solution. 
Result so far: 8217.13207
Deduct 371 from 400 and we're left with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Step 12:
If we divide 290 by 53, we get 5 and a remainder of 25.
The number 5 becomes the next digit in our result. 
Result so far: 8217.132075
Subtracting 265 from 290 leaves us with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Let's proceed to step 13:
When dividing 250 by 53, we get 4 with a remainder of 38.
The next digit of our result is 4. 
Result so far: 8217.1320754
Subtracting 212 from 250 leaves us with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Let's proceed to step 14:
380 divided by 53 is 7 with a remainder of 9.
Write down 7 as next digit of the result. 
Result so far: 8217.13207547
If we take 371 away from 380, we end up with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

The final result is 8217.13207547 with a remainder of 9e-09.