653368 ÷ 51 
Our goal is to divide 653368 by 51.

Let's proceed to step 1:
The number 51 fits into 6 0 times, leaving a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Append the next digit (5) from the dividend to 6 and continue with: 65 / 51

Going ahead to step 2:
When dividing 65 by 51, we get 1 with a remainder of 14.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtracting 51 from 65 leaves us with 14.
Take the next digit (3) from the dividend and append it to 14, then repeat: 143 / 51

Advancing to step 3:
51 goes into 143 2 times with a remainder of 41.
Use 2 as the next digit of our solution. 
Result so far: 12.0
If we take 102 away from 143, we end up with 41.
Take the next digit (3) from the dividend and append it to 41, then repeat: 413 / 51

Moving on to step 4:
51 goes into 413 8 times with a remainder of 5.
Record the quotient 8 as the next digit in the result. 
Result so far: 128.0
Deduct 408 from 413 and we're left with 5.
Take the next digit (6) from the dividend and append it to 5, then repeat: 56 / 51

Step 5:
51 can be fit into 56 1 times, resulting in a remainder of 5.
The number 1 becomes the next digit in our result. 
Result so far: 1281.0
Deduct 51 from 56 and we're left with 5.
Append the next digit (8) from the dividend to 5 and continue with: 58 / 51

Going ahead to step 6:
58 divided by 51 is 1 with a remainder of 7.
The number 1 becomes the next digit in our result. 
Result so far: 12811.0
If we subtract 51 from 58, we 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.

Step 7:
When dividing 70 by 51, we get 1 with a remainder of 19.
Write down 1 as next digit of the result. 
Result so far: 12811.1
The remainder is 19 after subtracting 51 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

On to step 8:
51 goes into 190 3 times with a remainder of 37.
Write down 3 as next digit of the result. 
Result so far: 12811.13
If we take 153 away from 190, 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.

Step 9:
If we divide 370 by 51, we get 7 and a remainder of 13.
Put 7 as the next digit of the answer. 
Result so far: 12811.137
Deduct 357 from 370 and we're left 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.

Let's proceed to step 10:
If we divide 130 by 51, we get 2 and a remainder of 28.
Use 2 as the next digit of our solution. 
Result so far: 12811.1372
Subtract 102 from 130 to get 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:
51 can be fit into 280 5 times, resulting in a remainder of 25.
Use 5 as the next digit of our solution. 
Result so far: 12811.13725
If we take 255 away from 280, we end up with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Going ahead to step 12:
The number 51 fits into 250 4 times, leaving a remainder of 46.
The number 4 becomes the next digit in our result. 
Result so far: 12811.137254
If we subtract 204 from 250, we get 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Moving on to step 13:
51 goes into 460 9 times with a remainder of 1.
The next digit of our result is 9. 
Result so far: 12811.1372549
If we subtract 459 from 460, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Going ahead to step 14:
When dividing 10 by 51, we get 0 with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 12811.1372549
Subtracting 0 from 10 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

In conclusion, the division gives 12811.1372549 with a balance of 1e-08.