We're dividing 77951 by 69 
Our goal is to divide 77951 by 69.

Step 1:
7 divided by 69 is 0 with a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 7, we end up with 7.
Take the next digit (7) from the dividend and append it to 7, then repeat: 77 / 69

Moving on to step 2:
77 divided by 69 is 1 with a remainder of 8.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtracting 69 from 77 leaves us with 8.
Include the next digit (9) from the dividend after 8, then repeat: 89 / 69

On to step 3:
89 divided by 69 is 1 with a remainder of 20.
Put 1 as the next digit of the answer. 
Result so far: 11.0
If we take 69 away from 89, we end up with 20.
Append the next digit (5) from the dividend to 20 and continue with: 205 / 69

Going ahead to step 4:
69 can be fit into 205 2 times, resulting in a remainder of 67.
Write down 2 as next digit of the result. 
Result so far: 112.0
The remainder is 67 after subtracting 138 from 205.
Append the next digit (1) from the dividend to 67 and continue with: 671 / 69

On to step 5:
69 can be fit into 671 9 times, resulting in a remainder of 50.
Write down 9 as next digit of the result. 
Result so far: 1129.0
If we take 621 away from 671, we end up with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

On to step 6:
If we divide 500 by 69, we get 7 and a remainder of 17.
Use 7 as the next digit of our solution. 
Result so far: 1129.7
The remainder is 17 after subtracting 483 from 500.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Moving on to step 7:
When dividing 170 by 69, we get 2 with a remainder of 32.
The number 2 becomes the next digit in our result. 
Result so far: 1129.72
Deduct 138 from 170 and we're left with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Let's proceed to step 8:
If we divide 320 by 69, we get 4 and a remainder of 44.
Put 4 as the next digit of the answer. 
Result so far: 1129.724
Deduct 276 from 320 and we're left with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Advancing to step 9:
The number 69 fits into 440 6 times, leaving a remainder of 26.
The next digit of our result is 6. 
Result so far: 1129.7246
If we subtract 414 from 440, we get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Going ahead to step 10:
69 goes into 260 3 times with a remainder of 53.
Use 3 as the next digit of our solution. 
Result so far: 1129.72463
If we subtract 207 from 260, we get 53.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

Going ahead to step 11:
If we divide 530 by 69, we get 7 and a remainder of 47.
The number 7 becomes the next digit in our result. 
Result so far: 1129.724637
If we take 483 away from 530, we end up with 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

Step 12:
69 goes into 470 6 times with a remainder of 56.
Put 6 as the next digit of the answer. 
Result so far: 1129.7246376
If we take 414 away from 470, we end up with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Going ahead to step 13:
69 can be fit into 560 8 times, resulting in a remainder of 8.
Write down 8 as next digit of the result. 
Result so far: 1129.72463768
Subtract 552 from 560 to 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.

In conclusion, the division gives 1129.72463768 with a balance of 8e-09.