We divide 10901143 by 3
We want to figure out the number of times 10901143 can be divided by 3.

On to step 1:
If we divide 1 by 3, we get 0 and a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Fetch the next digit (0) from the dividend, attach it to 1 and continue: 10 / 3

Step 2:
When dividing 10 by 3, we get 3 with a remainder of 1.
Write down 3 as next digit of the result. 
Result so far: 3.0
The remainder is 1 after subtracting 9 from 10.
Fetch the next digit (9) from the dividend, attach it to 1 and continue: 19 / 3

Moving on to step 3:
3 goes into 19 6 times with a remainder of 1.
Record the quotient 6 as the next digit in the result. 
Result so far: 36.0
If we subtract 18 from 19, we get 1.
Append the next digit (0) from the dividend to 1 and continue with: 10 / 3

Step 4:
The number 3 fits into 10 3 times, leaving a remainder of 1.
Record the quotient 3 as the next digit in the result. 
Result so far: 363.0
If we subtract 9 from 10, we get 1.
Include the next digit (1) from the dividend after 1, then repeat: 11 / 3

Advancing to step 5:
3 can be fit into 11 3 times, resulting in a remainder of 2.
Use 3 as the next digit of our solution. 
Result so far: 3633.0
Subtracting 9 from 11 leaves us with 2.
Bring next digit (1) of the dividend behind the 2 and repeat the process: 21 / 3

Let's proceed to step 6:
When dividing 21 by 3, we get 7 with a remainder of 0.
Record the quotient 7 as the next digit in the result. 
Result so far: 36337.0
If we take 21 away from 21, we end up with 0.
Include the next digit (4) from the dividend after 0, then repeat: 4 / 3

Let's proceed to step 7:
When dividing 4 by 3, we get 1 with a remainder of 1.
Put 1 as the next digit of the answer. 
Result so far: 363371.0
Subtract 3 from 4 to get 1.
Include the next digit (3) from the dividend after 1, then repeat: 13 / 3

On to step 8:
3 can be fit into 13 4 times, resulting in a remainder of 1.
Write down 4 as next digit of the result. 
Result so far: 3633714.0
Deduct 12 from 13 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Going ahead to step 9:
3 goes into 10 3 times with a remainder of 1.
Record the quotient 3 as the next digit in the result. 
Result so far: 3633714.3
Deduct 9 from 10 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 10:
If we divide 10 by 3, we get 3 and a remainder of 1.
The next digit of our result is 3. 
Result so far: 3633714.33
If we take 9 away from 10, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

After the division, we end up with 3633714.33 and a remainder of 0.001.