We look at the division of 102126 by 64 
Let's see how many times 64 fits into 102126.

Advancing to step 1:
If we divide 1 by 64, we get 0 and a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Include the next digit (0) from the dividend after 1, then repeat: 10 / 64

Let's proceed to step 2:
If we divide 10 by 64, we get 0 and a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 10, we end up with 10.
Include the next digit (2) from the dividend after 10, then repeat: 102 / 64

Step 3:
The number 64 fits into 102 1 times, leaving a remainder of 38.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we take 64 away from 102, we end up with 38.
Fetch the next digit (1) from the dividend, attach it to 38 and continue: 381 / 64

Going ahead to step 4:
64 goes into 381 5 times with a remainder of 61.
Record the quotient 5 as the next digit in the result. 
Result so far: 15.0
The remainder is 61 after subtracting 320 from 381.
Grab the next digit (2) from the dividend, add it to 61, then carry on: 612 / 64

On to step 5:
When dividing 612 by 64, we get 9 with a remainder of 36.
Record the quotient 9 as the next digit in the result. 
Result so far: 159.0
Subtract 576 from 612 to get 36.
Include the next digit (6) from the dividend after 36, then repeat: 366 / 64

On to step 6:
64 can be fit into 366 5 times, resulting in a remainder of 46.
Put 5 as the next digit of the answer. 
Result so far: 1595.0
Deduct 320 from 366 and we're left with 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Let's proceed to step 7:
64 can be fit into 460 7 times, resulting in a remainder of 12.
Write down 7 as next digit of the result. 
Result so far: 1595.7
If we take 448 away from 460, we end up with 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 8:
When dividing 120 by 64, we get 1 with a remainder of 56.
Write down 1 as next digit of the result. 
Result so far: 1595.71
The remainder is 56 after subtracting 64 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

On to step 9:
If we divide 560 by 64, we get 8 and a remainder of 48.
Put 8 as the next digit of the answer. 
Result so far: 1595.718
Subtract 512 from 560 to get 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Moving on to step 10:
64 goes into 480 7 times with a remainder of 32.
Record the quotient 7 as the next digit in the result. 
Result so far: 1595.7187
Subtract 448 from 480 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 11:
320 divided by 64 is 5 with a remainder of 0.
Record the quotient 5 as the next digit in the result. 
Result so far: 1595.71875
Deduct 320 from 320 and we're left 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 12:
When dividing 0 by 64, we get 0 with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 1595.71875
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.

Let's proceed to step 13:
When dividing 0 by 64, we get 0 with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 1595.71875
If we take 0 away from 0, we end up 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.

The final result is 1595.71875 with a remainder of 0.0.