677435 divided by 53 
We're looking to find how many times 53 goes into 677435.

On to step 1:
If we divide 6 by 53, we get 0 and a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Append the next digit (7) from the dividend to 6 and continue with: 67 / 53

Step 2:
If we divide 67 by 53, we get 1 and a remainder of 14.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtract 53 from 67 to get 14.
Append the next digit (7) from the dividend to 14 and continue with: 147 / 53

Let's proceed to step 3:
If we divide 147 by 53, we get 2 and a remainder of 41.
Put 2 as the next digit of the answer. 
Result so far: 12.0
If we take 106 away from 147, we end up with 41.
Bring next digit (4) of the dividend behind the 41 and repeat the process: 414 / 53

Step 4:
53 can be fit into 414 7 times, resulting in a remainder of 43.
The number 7 becomes the next digit in our result. 
Result so far: 127.0
Subtract 371 from 414 to get 43.
Append the next digit (3) from the dividend to 43 and continue with: 433 / 53

On to step 5:
53 can be fit into 433 8 times, resulting in a remainder of 9.
Write down 8 as next digit of the result. 
Result so far: 1278.0
If we subtract 424 from 433, we get 9.
Include the next digit (5) from the dividend after 9, then repeat: 95 / 53

Step 6:
53 goes into 95 1 times with a remainder of 42.
Write down 1 as next digit of the result. 
Result so far: 12781.0
Subtract 53 from 95 to get 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

On to step 7:
53 can be fit into 420 7 times, resulting in a remainder of 49.
Record the quotient 7 as the next digit in the result. 
Result so far: 12781.7
If we subtract 371 from 420, we get 49.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

On to step 8:
The number 53 fits into 490 9 times, leaving a remainder of 13.
Record the quotient 9 as the next digit in the result. 
Result so far: 12781.79
If we take 477 away from 490, we end up with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Moving on to step 9:
When dividing 130 by 53, we get 2 with a remainder of 24.
Use 2 as the next digit of our solution. 
Result so far: 12781.792
Deduct 106 from 130 and we're left with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Step 10:
If we divide 240 by 53, we get 4 and a remainder of 28.
Record the quotient 4 as the next digit in the result. 
Result so far: 12781.7924
Subtracting 212 from 240 leaves us with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Moving on to step 11:
If we divide 280 by 53, we get 5 and a remainder of 15.
The number 5 becomes the next digit in our result. 
Result so far: 12781.79245
Deduct 265 from 280 and we're left with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Step 12:
53 goes into 150 2 times with a remainder of 44.
Put 2 as the next digit of the answer. 
Result so far: 12781.792452
Subtract 106 from 150 to get 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Step 13:
If we divide 440 by 53, we get 8 and a remainder of 16.
Record the quotient 8 as the next digit in the result. 
Result so far: 12781.7924528
The remainder is 16 after subtracting 424 from 440.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

On to step 14:
53 can be fit into 160 3 times, resulting in a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 12781.79245283
Subtracting 159 from 160 leaves us with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Our division results in 12781.79245283 with a remaining 1e-09.