We're dividing 677724 by 52 
Our goal is to divide 677724 by 52.

Moving on to step 1:
If we divide 6 by 52, we get 0 and a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Take the next digit (7) from the dividend and append it to 6, then repeat: 67 / 52

On to step 2:
67 divided by 52 is 1 with a remainder of 15.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
The remainder is 15 after subtracting 52 from 67.
Fetch the next digit (7) from the dividend, attach it to 15 and continue: 157 / 52

On to step 3:
52 goes into 157 3 times with a remainder of 1.
The number 3 becomes the next digit in our result. 
Result so far: 13.0
If we take 156 away from 157, we end up with 1.
Take the next digit (7) from the dividend and append it to 1, then repeat: 17 / 52

On to step 4:
52 can be fit into 17 0 times, resulting in a remainder of 17.
Put 0 as the next digit of the answer. 
Result so far: 130.0
Subtract 0 from 17 to get 17.
Fetch the next digit (2) from the dividend, attach it to 17 and continue: 172 / 52

Step 5:
52 goes into 172 3 times with a remainder of 16.
Write down 3 as next digit of the result. 
Result so far: 1303.0
Subtracting 156 from 172 leaves us with 16.
Grab the next digit (4) from the dividend, add it to 16, then carry on: 164 / 52

On to step 6:
52 can be fit into 164 3 times, resulting in a remainder of 8.
Use 3 as the next digit of our solution. 
Result so far: 13033.0
If we subtract 156 from 164, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 7:
When dividing 80 by 52, we get 1 with a remainder of 28.
Put 1 as the next digit of the answer. 
Result so far: 13033.1
Deduct 52 from 80 and we're left 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.

Going ahead to step 8:
52 can be fit into 280 5 times, resulting in a remainder of 20.
Use 5 as the next digit of our solution. 
Result so far: 13033.15
The remainder is 20 after subtracting 260 from 280.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

On to step 9:
52 goes into 200 3 times with a remainder of 44.
Put 3 as the next digit of the answer. 
Result so far: 13033.153
If we subtract 156 from 200, we 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.

On to step 10:
When dividing 440 by 52, we get 8 with a remainder of 24.
Use 8 as the next digit of our solution. 
Result so far: 13033.1538
If we subtract 416 from 440, we get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Let's proceed to step 11:
When dividing 240 by 52, we get 4 with a remainder of 32.
Put 4 as the next digit of the answer. 
Result so far: 13033.15384
Subtract 208 from 240 to get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Step 12:
When dividing 320 by 52, we get 6 with a remainder of 8.
The number 6 becomes the next digit in our result. 
Result so far: 13033.153846
If we subtract 312 from 320, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 13:
When dividing 80 by 52, we get 1 with a remainder of 28.
Record the quotient 1 as the next digit in the result. 
Result so far: 13033.1538461
Subtracting 52 from 80 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 14:
The number 52 fits into 280 5 times, leaving a remainder of 20.
Record the quotient 5 as the next digit in the result. 
Result so far: 13033.15384615
Subtracting 260 from 280 leaves us with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

After the division, we end up with 13033.15384615 and a remainder of 2e-08.