51266 ÷ 67 
Our goal is to divide 51266 by 67.

Going ahead to step 1:
67 goes into 5 0 times with a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Include the next digit (1) from the dividend after 5, then repeat: 51 / 67

Advancing to step 2:
When dividing 51 by 67, we get 0 with a remainder of 51.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 51 and we're left with 51.
Take the next digit (2) from the dividend and append it to 51, then repeat: 512 / 67

Moving on to step 3:
The number 67 fits into 512 7 times, leaving a remainder of 43.
The next digit of our result is 7. 
Result so far: 7.0
Subtracting 469 from 512 leaves us with 43.
Take the next digit (6) from the dividend and append it to 43, then repeat: 436 / 67

Going ahead to step 4:
When dividing 436 by 67, we get 6 with a remainder of 34.
The next digit of our result is 6. 
Result so far: 76.0
Subtracting 402 from 436 leaves us with 34.
Include the next digit (6) from the dividend after 34, then repeat: 346 / 67

Moving on to step 5:
The number 67 fits into 346 5 times, leaving a remainder of 11.
The number 5 becomes the next digit in our result. 
Result so far: 765.0
Subtracting 335 from 346 leaves us with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Step 6:
The number 67 fits into 110 1 times, leaving a remainder of 43.
The number 1 becomes the next digit in our result. 
Result so far: 765.1
If we subtract 67 from 110, we get 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

Let's proceed to step 7:
67 can be fit into 430 6 times, resulting in a remainder of 28.
Use 6 as the next digit of our solution. 
Result so far: 765.16
The remainder is 28 after subtracting 402 from 430.
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 8:
280 divided by 67 is 4 with a remainder of 12.
Use 4 as the next digit of our solution. 
Result so far: 765.164
Subtract 268 from 280 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

On to step 9:
If we divide 120 by 67, we get 1 and a remainder of 53.
Write down 1 as next digit of the result. 
Result so far: 765.1641
Deduct 67 from 120 and we're left with 53.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

Step 10:
67 goes into 530 7 times with a remainder of 61.
Write down 7 as next digit of the result. 
Result so far: 765.16417
Subtract 469 from 530 to get 61.
Since there are no more digits in the dividend, we add a zero to the remainder making it 610, and continue the process.

Moving on to step 11:
610 divided by 67 is 9 with a remainder of 7.
Put 9 as the next digit of the answer. 
Result so far: 765.164179
If we subtract 603 from 610, 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.

Let's proceed to step 12:
67 can be fit into 70 1 times, resulting in a remainder of 3.
Use 1 as the next digit of our solution. 
Result so far: 765.1641791
If we subtract 67 from 70, we get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Moving on to step 13:
The number 67 fits into 30 0 times, leaving a remainder of 30.
Record the quotient 0 as the next digit in the result. 
Result so far: 765.1641791
Subtract 0 from 30 to 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.

In conclusion, the division gives 765.1641791 with a balance of 3e-08.