Math Problem Solver

\(\dfrac{46}{4} = 11\) with remainder \(2\).

To divide integers by hand, we use long division:

 Step 1: Divide the first digit of the dividend by the divisor and write the result on top of the bar above that digit. If the first digit of the dividend is smaller than the divisor, write zero.
 Step 2: Multiply the divisor by the result, and subtract that number from the digit, writing the difference below.
 Step 3: Bring down the next digit of the dividend next to the difference, and repeat this process with the new number that is formed by these two digits.
 Step 4: Repeat this process until you reach the end of the dividend.

The number on top of the bar will be the quotient, and the final difference at the bottom will be the remainder.

$\begin{aligned}11 &\\4\overline{\big | 46}&&\\\underline{-4}\hspace{1.2 ex}&&\\06\hspace{0.0 ex}&&\\\underline{-4}&&\\2&&\\\end{aligned}$

The quotient is \(11\) and the remainder is \(2\).