We're dividing 359577 by 53 
Our goal is to divide 359577 by 53.

Advancing to step 1:
53 goes into 3 0 times with a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Append the next digit (5) from the dividend to 3 and continue with: 35 / 53

Advancing to step 2:
53 goes into 35 0 times with a remainder of 35.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 35 after subtracting 0 from 35.
Include the next digit (9) from the dividend after 35, then repeat: 359 / 53

Step 3:
53 can be fit into 359 6 times, resulting in a remainder of 41.
Use 6 as the next digit of our solution. 
Result so far: 6.0
If we subtract 318 from 359, we get 41.
Append the next digit (5) from the dividend to 41 and continue with: 415 / 53

Step 4:
53 goes into 415 7 times with a remainder of 44.
Put 7 as the next digit of the answer. 
Result so far: 67.0
If we take 371 away from 415, we end up with 44.
Bring next digit (7) of the dividend behind the 44 and repeat the process: 447 / 53

On to step 5:
The number 53 fits into 447 8 times, leaving a remainder of 23.
The number 8 becomes the next digit in our result. 
Result so far: 678.0
The remainder is 23 after subtracting 424 from 447.
Grab the next digit (7) from the dividend, add it to 23, then carry on: 237 / 53

On to step 6:
If we divide 237 by 53, we get 4 and a remainder of 25.
The next digit of our result is 4. 
Result so far: 6784.0
If we subtract 212 from 237, we 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.

Moving on to step 7:
If we divide 250 by 53, we get 4 and a remainder of 38.
Put 4 as the next digit of the answer. 
Result so far: 6784.4
Subtract 212 from 250 to get 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 8:
53 can be fit into 380 7 times, resulting in a remainder of 9.
The number 7 becomes the next digit in our result. 
Result so far: 6784.47
If we subtract 371 from 380, we get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Step 9:
53 goes into 90 1 times with a remainder of 37.
Record the quotient 1 as the next digit in the result. 
Result so far: 6784.471
If we take 53 away from 90, we end up with 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Let's proceed to step 10:
53 can be fit into 370 6 times, resulting in a remainder of 52.
Put 6 as the next digit of the answer. 
Result so far: 6784.4716
Subtract 318 from 370 to get 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

On to step 11:
520 divided by 53 is 9 with a remainder of 43.
The number 9 becomes the next digit in our result. 
Result so far: 6784.47169
Deduct 477 from 520 and we're left with 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

Step 12:
430 divided by 53 is 8 with a remainder of 6.
Write down 8 as next digit of the result. 
Result so far: 6784.471698
If we take 424 away from 430, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

On to step 13:
If we divide 60 by 53, we get 1 and a remainder of 7.
Write down 1 as next digit of the result. 
Result so far: 6784.4716981
Subtract 53 from 60 to get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Going ahead to step 14:
If we divide 70 by 53, we get 1 and a remainder of 17.
Use 1 as the next digit of our solution. 
Result so far: 6784.47169811
If we subtract 53 from 70, we 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.

After the division, we end up with 6784.47169811 and a remainder of 1.7e-08.