Work out 199 divided by 15 using long division as a pupil would set it out, and give the quotient and the remainder.

Step-by-step solution

1. 1

   Set up the long division and look at the leading digits. $15$ does not go into $1$, and it goes into $19$ only once, so the first quotient digit sits above the $9$ in the tens place. Getting this placement right is what keeps the quotient at two digits rather than three.

2. 2

   First division step. $15\times 1=15$, and

   $19-15=4$

   So the first quotient digit is $1$ with $4$ carried down.

3. 3

   Bring down the last digit and divide again. The new working number is $49$. Since $15\times 3=45$ and $15\times 4=60>49$, the next quotient digit is $3$:

   $49-45=4$

   There are no digits left to bring down, so $4$ is the remainder.

4. 4

   Write the answer in all three standard forms.

   $199=15\times 13+4,\qquad \frac{199}{15}=13\tfrac{4}{15},\qquad 199\div 15=13.2\overline{6}$

   The remainder $4$ is smaller than the divisor $15$, which is the requirement for the division to be complete.

5. 5

   Check by multiplying back.

   $15\times 13=195,\qquad 195+4=199\ \checkmark$

   And as a decimal check, $4/15=0.2666\ldots$, so $13+0.2666\ldots=13.2666\ldots$, matching the decimal form above.