We look at the division of 645441 by 53 
We want to divide 645441 by 53.

Let's proceed to step 1:
If we divide 6 by 53, we get 0 and a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Fetch the next digit (4) from the dividend, attach it to 6 and continue: 64 / 53

Moving on to step 2:
53 can be fit into 64 1 times, resulting in a remainder of 11.
The next digit of our result is 1. 
Result so far: 1.0
Subtract 53 from 64 to get 11.
Fetch the next digit (5) from the dividend, attach it to 11 and continue: 115 / 53

Moving on to step 3:
53 goes into 115 2 times with a remainder of 9.
Put 2 as the next digit of the answer. 
Result so far: 12.0
Deduct 106 from 115 and we're left with 9.
Take the next digit (4) from the dividend and append it to 9, then repeat: 94 / 53

Let's proceed to step 4:
When dividing 94 by 53, we get 1 with a remainder of 41.
Write down 1 as next digit of the result. 
Result so far: 121.0
If we subtract 53 from 94, we get 41.
Take the next digit (4) from the dividend and append it to 41, then repeat: 414 / 53

Step 5:
When dividing 414 by 53, we get 7 with a remainder of 43.
Put 7 as the next digit of the answer. 
Result so far: 1217.0
If we subtract 371 from 414, we get 43.
Bring next digit (1) of the dividend behind the 43 and repeat the process: 431 / 53

Advancing to step 6:
The number 53 fits into 431 8 times, leaving a remainder of 7.
Put 8 as the next digit of the answer. 
Result so far: 12178.0
The remainder is 7 after subtracting 424 from 431.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Moving on to step 7:
70 divided by 53 is 1 with a remainder of 17.
Write down 1 as next digit of the result. 
Result so far: 12178.1
Deduct 53 from 70 and we're left with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

On to step 8:
If we divide 170 by 53, we get 3 and a remainder of 11.
Write down 3 as next digit of the result. 
Result so far: 12178.13
Subtracting 159 from 170 leaves us with 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:
53 can be fit into 110 2 times, resulting in a remainder of 4.
Put 2 as the next digit of the answer. 
Result so far: 12178.132
Deduct 106 from 110 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 10:
The number 53 fits into 40 0 times, leaving a remainder of 40.
The number 0 becomes the next digit in our result. 
Result so far: 12178.132
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.

Moving on to step 11:
The number 53 fits into 400 7 times, leaving a remainder of 29.
The number 7 becomes the next digit in our result. 
Result so far: 12178.13207
Subtract 371 from 400 to get 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Advancing to step 12:
When dividing 290 by 53, we get 5 with a remainder of 25.
The number 5 becomes the next digit in our result. 
Result so far: 12178.132075
Subtract 265 from 290 to get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Step 13:
The number 53 fits into 250 4 times, leaving a remainder of 38.
Write down 4 as next digit of the result. 
Result so far: 12178.1320754
If we take 212 away from 250, we end up 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.

Moving on 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: 12178.13207547
Deduct 371 from 380 and we're left 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.

After the division, we end up with 12178.13207547 and a remainder of 9e-09.