We're dividing 10134523 by 646 
Let's see how many times 646 fits into 10134523.

Moving on to step 1:
646 goes into 1 0 times with a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Fetch the next digit (0) from the dividend, attach it to 1 and continue: 10 / 646

Advancing to step 2:
When dividing 10 by 646, we get 0 with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 10, we get 10.
Include the next digit (1) from the dividend after 10, then repeat: 101 / 646

On to step 3:
When dividing 101 by 646, we get 0 with a remainder of 101.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 101, we get 101.
Bring next digit (3) of the dividend behind the 101 and repeat the process: 1013 / 646

Step 4:
646 goes into 1013 1 times with a remainder of 367.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we take 646 away from 1013, we end up with 367.
Take the next digit (4) from the dividend and append it to 367, then repeat: 3674 / 646

Moving on to step 5:
3674 divided by 646 is 5 with a remainder of 444.
The next digit of our result is 5. 
Result so far: 15.0
If we take 3230 away from 3674, we end up with 444.
Fetch the next digit (5) from the dividend, attach it to 444 and continue: 4445 / 646

Step 6:
The number 646 fits into 4445 6 times, leaving a remainder of 569.
Put 6 as the next digit of the answer. 
Result so far: 156.0
Deduct 3876 from 4445 and we're left with 569.
Bring next digit (2) of the dividend behind the 569 and repeat the process: 5692 / 646

On to step 7:
5692 divided by 646 is 8 with a remainder of 524.
The next digit of our result is 8. 
Result so far: 1568.0
The remainder is 524 after subtracting 5168 from 5692.
Bring next digit (3) of the dividend behind the 524 and repeat the process: 5243 / 646

On to step 8:
646 can be fit into 5243 8 times, resulting in a remainder of 75.
The next digit of our result is 8. 
Result so far: 15688.0
Subtract 5168 from 5243 to get 75.
Since there are no more digits in the dividend, we add a zero to the remainder making it 750, and continue the process.

On to step 9:
When dividing 750 by 646, we get 1 with a remainder of 104.
Write down 1 as next digit of the result. 
Result so far: 15688.1
The remainder is 104 after subtracting 646 from 750.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1040, and continue the process.

Moving on to step 10:
646 goes into 1040 1 times with a remainder of 394.
Use 1 as the next digit of our solution. 
Result so far: 15688.11
If we take 646 away from 1040, we end up with 394.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3940, and continue the process.

After the division, we end up with 15688.11 and a remainder of 0.394.