Let's divide 645335 by 53
We're looking to find how many times 53 goes into 645335.

Step 1:
6 divided by 53 is 0 with a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Grab the next digit (4) from the dividend, add it to 6, then carry on: 64 / 53

On to step 2:
If we divide 64 by 53, we get 1 and a remainder of 11.
Put 1 as the next digit of the answer. 
Result so far: 1.0
The remainder is 11 after subtracting 53 from 64.
Append the next digit (5) from the dividend to 11 and continue with: 115 / 53

Going ahead to step 3:
The number 53 fits into 115 2 times, leaving a remainder of 9.
The number 2 becomes the next digit in our result. 
Result so far: 12.0
Deduct 106 from 115 and we're left with 9.
Fetch the next digit (3) from the dividend, attach it to 9 and continue: 93 / 53

Let's proceed to step 4:
93 divided by 53 is 1 with a remainder of 40.
Record the quotient 1 as the next digit in the result. 
Result so far: 121.0
Deduct 53 from 93 and we're left with 40.
Grab the next digit (3) from the dividend, add it to 40, then carry on: 403 / 53

Moving on to step 5:
When dividing 403 by 53, we get 7 with a remainder of 32.
Use 7 as the next digit of our solution. 
Result so far: 1217.0
If we take 371 away from 403, we end up with 32.
Grab the next digit (5) from the dividend, add it to 32, then carry on: 325 / 53

Moving on to step 6:
53 goes into 325 6 times with a remainder of 7.
Use 6 as the next digit of our solution. 
Result so far: 12176.0
Subtracting 318 from 325 leaves us with 7.
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:
70 divided by 53 is 1 with a remainder of 17.
The number 1 becomes the next digit in our result. 
Result so far: 12176.1
The remainder is 17 after subtracting 53 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Moving on to step 8:
170 divided by 53 is 3 with a remainder of 11.
The next digit of our result is 3. 
Result so far: 12176.13
The remainder is 11 after subtracting 159 from 170.
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.
The number 2 becomes the next digit in our result. 
Result so far: 12176.132
The remainder is 4 after subtracting 106 from 110.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 10:
53 goes into 40 0 times with a remainder of 40.
Record the quotient 0 as the next digit in the result. 
Result so far: 12176.132
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.

On to step 11:
The number 53 fits into 400 7 times, leaving a remainder of 29.
Record the quotient 7 as the next digit in the result. 
Result so far: 12176.13207
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:
290 divided by 53 is 5 with a remainder of 25.
The number 5 becomes the next digit in our result. 
Result so far: 12176.132075
Deduct 265 from 290 and we're left 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.

On to step 13:
53 goes into 250 4 times with a remainder of 38.
Put 4 as the next digit of the answer. 
Result so far: 12176.1320754
Deduct 212 from 250 and we're left 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:
The number 53 fits into 380 7 times, leaving a remainder of 9.
Record the quotient 7 as the next digit in the result. 
Result so far: 12176.13207547
Subtracting 371 from 380 leaves us 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.

Our division results in 12176.13207547 with a remaining 9e-09.