10525962 ÷ 666 
We're looking to find how many times 666 goes into 10525962.

Moving on to step 1:
1 divided by 666 is 0 with a remainder of 1.
Write down 0 as next digit of the result. 
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 / 666

On to step 2:
When dividing 10 by 666, 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.
Take the next digit (5) from the dividend and append it to 10, then repeat: 105 / 666

Moving on to step 3:
666 can be fit into 105 0 times, resulting in a remainder of 105.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 105 leaves us with 105.
Append the next digit (2) from the dividend to 105 and continue with: 1052 / 666

Moving on to step 4:
If we divide 1052 by 666, we get 1 and a remainder of 386.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we take 666 away from 1052, we end up with 386.
Bring next digit (5) of the dividend behind the 386 and repeat the process: 3865 / 666

Let's proceed to step 5:
When dividing 3865 by 666, we get 5 with a remainder of 535.
Use 5 as the next digit of our solution. 
Result so far: 15.0
The remainder is 535 after subtracting 3330 from 3865.
Grab the next digit (9) from the dividend, add it to 535, then carry on: 5359 / 666

Moving on to step 6:
The number 666 fits into 5359 8 times, leaving a remainder of 31.
The number 8 becomes the next digit in our result. 
Result so far: 158.0
Subtract 5328 from 5359 to get 31.
Grab the next digit (6) from the dividend, add it to 31, then carry on: 316 / 666

On to step 7:
The number 666 fits into 316 0 times, leaving a remainder of 316.
Use 0 as the next digit of our solution. 
Result so far: 1580.0
The remainder is 316 after subtracting 0 from 316.
Take the next digit (2) from the dividend and append it to 316, then repeat: 3162 / 666

Moving on to step 8:
666 can be fit into 3162 4 times, resulting in a remainder of 498.
Write down 4 as next digit of the result. 
Result so far: 15804.0
Subtract 2664 from 3162 to get 498.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4980, and continue the process.

Moving on to step 9:
666 goes into 4980 7 times with a remainder of 318.
Write down 7 as next digit of the result. 
Result so far: 15804.7
Subtracting 4662 from 4980 leaves us with 318.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3180, and continue the process.

Let's proceed to step 10:
When dividing 3180 by 666, we get 4 with a remainder of 516.
Record the quotient 4 as the next digit in the result. 
Result so far: 15804.74
The remainder is 516 after subtracting 2664 from 3180.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5160, and continue the process.

Going ahead to step 11:
The number 666 fits into 5160 7 times, leaving a remainder of 498.
The number 7 becomes the next digit in our result. 
Result so far: 15804.747
Subtract 4662 from 5160 to get 498.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4980, and continue the process.

Step 12:
If we divide 4980 by 666, we get 7 and a remainder of 318.
Write down 7 as next digit of the result. 
Result so far: 15804.7477
If we take 4662 away from 4980, we end up with 318.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3180, and continue the process.

Our division results in 15804.7477 with a remaining 0.00318.