We look at the division of 10051 by 8 
Our goal is to divide 10051 by 8.

Let's proceed to step 1:
8 can be fit into 1 0 times, resulting in a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Bring next digit (0) of the dividend behind the 1 and repeat the process: 10 / 8

Let's proceed to step 2:
8 goes into 10 1 times with a remainder of 2.
Write down 1 as next digit of the result. 
Result so far: 1.0
Deduct 8 from 10 and we're left with 2.
Take the next digit (0) from the dividend and append it to 2, then repeat: 20 / 8

Advancing to step 3:
20 divided by 8 is 2 with a remainder of 4.
Put 2 as the next digit of the answer. 
Result so far: 12.0
Subtracting 16 from 20 leaves us with 4.
Fetch the next digit (5) from the dividend, attach it to 4 and continue: 45 / 8

Step 4:
When dividing 45 by 8, we get 5 with a remainder of 5.
The next digit of our result is 5. 
Result so far: 125.0
The remainder is 5 after subtracting 40 from 45.
Take the next digit (1) from the dividend and append it to 5, then repeat: 51 / 8

Moving on to step 5:
The number 8 fits into 51 6 times, leaving a remainder of 3.
The next digit of our result is 6. 
Result so far: 1256.0
Deduct 48 from 51 and we're left with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Let's proceed to step 6:
The number 8 fits into 30 3 times, leaving a remainder of 6.
Record the quotient 3 as the next digit in the result. 
Result so far: 1256.3
If we take 24 away from 30, 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.

Going ahead to step 7:
8 can be fit into 60 7 times, resulting in a remainder of 4.
The next digit of our result is 7. 
Result so far: 1256.37
The remainder is 4 after subtracting 56 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 8:
8 can be fit into 40 5 times, resulting in a remainder of 0.
Write down 5 as next digit of the result. 
Result so far: 1256.375
Subtracting 40 from 40 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Step 9:
If we divide 0 by 8, we get 0 and a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 1256.375
The remainder is 0 after subtracting 0 from 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Moving on to step 10:
If we divide 0 by 8, we get 0 and a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 1256.375
Subtracting 0 from 0 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

In conclusion, the division gives 1256.375 with a balance of 0.0.