642664 ÷ 53 
We want to figure out the number of times 642664 can be divided by 53.

Going ahead to step 1:
53 can be fit into 6 0 times, resulting in a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Bring next digit (4) of the dividend behind the 6 and repeat the process: 64 / 53

Moving on to step 2:
When dividing 64 by 53, we get 1 with a remainder of 11.
The next digit of our result is 1. 
Result so far: 1.0
If we subtract 53 from 64, we get 11.
Bring next digit (2) of the dividend behind the 11 and repeat the process: 112 / 53

Moving on to step 3:
53 goes into 112 2 times with a remainder of 6.
The next digit of our result is 2. 
Result so far: 12.0
If we subtract 106 from 112, we get 6.
Bring next digit (6) of the dividend behind the 6 and repeat the process: 66 / 53

Let's proceed to step 4:
53 can be fit into 66 1 times, resulting in a remainder of 13.
Write down 1 as next digit of the result. 
Result so far: 121.0
Deduct 53 from 66 and we're left with 13.
Grab the next digit (6) from the dividend, add it to 13, then carry on: 136 / 53

Moving on to step 5:
If we divide 136 by 53, we get 2 and a remainder of 30.
Record the quotient 2 as the next digit in the result. 
Result so far: 1212.0
Subtract 106 from 136 to get 30.
Include the next digit (4) from the dividend after 30, then repeat: 304 / 53

Moving on to step 6:
53 can be fit into 304 5 times, resulting in a remainder of 39.
Record the quotient 5 as the next digit in the result. 
Result so far: 12125.0
If we take 265 away from 304, we end up with 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Step 7:
If we divide 390 by 53, we get 7 and a remainder of 19.
The next digit of our result is 7. 
Result so far: 12125.7
Subtracting 371 from 390 leaves us with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Let's proceed to step 8:
53 can be fit into 190 3 times, resulting in a remainder of 31.
Put 3 as the next digit of the answer. 
Result so far: 12125.73
Deduct 159 from 190 and we're left with 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Moving on to step 9:
If we divide 310 by 53, we get 5 and a remainder of 45.
Put 5 as the next digit of the answer. 
Result so far: 12125.735
If we take 265 away from 310, we end up with 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Going ahead to step 10:
450 divided by 53 is 8 with a remainder of 26.
Write down 8 as next digit of the result. 
Result so far: 12125.7358
Subtracting 424 from 450 leaves us with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Moving on to step 11:
53 goes into 260 4 times with a remainder of 48.
Write down 4 as next digit of the result. 
Result so far: 12125.73584
If we subtract 212 from 260, we get 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Advancing to step 12:
When dividing 480 by 53, we get 9 with a remainder of 3.
Put 9 as the next digit of the answer. 
Result so far: 12125.735849
Deduct 477 from 480 and we're left with 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 13:
The number 53 fits into 30 0 times, leaving a remainder of 30.
Put 0 as the next digit of the answer. 
Result so far: 12125.735849
If we subtract 0 from 30, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Let's proceed to step 14:
When dividing 300 by 53, we get 5 with a remainder of 35.
Record the quotient 5 as the next digit in the result. 
Result so far: 12125.73584905
The remainder is 35 after subtracting 265 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

After the division, we end up with 12125.73584905 and a remainder of 3.5e-08.