How to solve (33744)/(36)

1. Factor the equation (x + 2)(x + 3) = 0. 2. Set each factor equal to zero: x + 2 = 0 and x + 3 = 0. 3. Solve for x: x = -2 and x = -3.

Solve (33744)/(36) | Equatix

Question

$$\frac{ 33744 }{ 36 }$$

Evaluate

$\frac{2812}{3}\approx 937.333333333$

Steps For Long Division Method

Use the $1^{st}$ digit $3$ from dividend $33744$

$$\begin{array}{l}\phantom{36)}\phantom{1}\\36\overline{)33744}\\\end{array}$$

Since $3$ is less than $36$, use the next digit $3$ from dividend $33744$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{36)}0\phantom{2}\\36\overline{)33744}\\\end{array}$$

Use the $2^{nd}$ digit $3$ from dividend $33744$

$$\begin{array}{l}\phantom{36)}0\phantom{3}\\36\overline{)33744}\\\end{array}$$

Since $33$ is less than $36$, use the next digit $7$ from dividend $33744$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{36)}00\phantom{4}\\36\overline{)33744}\\\end{array}$$

Use the $3^{rd}$ digit $7$ from dividend $33744$

$$\begin{array}{l}\phantom{36)}00\phantom{5}\\36\overline{)33744}\\\end{array}$$

Find closest multiple of $36$ to $337$. We see that $9 \times 36 = 324$ is the nearest. Now subtract $324$ from $337$ to get reminder $13$. Add $9$ to quotient.

$$\begin{array}{l}\phantom{36)}009\phantom{6}\\36\overline{)33744}\\\phantom{36)}\underline{\phantom{}324\phantom{99}}\\\phantom{36)9}13\\\end{array}$$

Use the $4^{th}$ digit $4$ from dividend $33744$

$$\begin{array}{l}\phantom{36)}009\phantom{7}\\36\overline{)33744}\\\phantom{36)}\underline{\phantom{}324\phantom{99}}\\\phantom{36)9}134\\\end{array}$$

Find closest multiple of $36$ to $134$. We see that $3 \times 36 = 108$ is the nearest. Now subtract $108$ from $134$ to get reminder $26$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{36)}0093\phantom{8}\\36\overline{)33744}\\\phantom{36)}\underline{\phantom{}324\phantom{99}}\\\phantom{36)9}134\\\phantom{36)}\underline{\phantom{9}108\phantom{9}}\\\phantom{36)99}26\\\end{array}$$

Use the $5^{th}$ digit $4$ from dividend $33744$

$$\begin{array}{l}\phantom{36)}0093\phantom{9}\\36\overline{)33744}\\\phantom{36)}\underline{\phantom{}324\phantom{99}}\\\phantom{36)9}134\\\phantom{36)}\underline{\phantom{9}108\phantom{9}}\\\phantom{36)99}264\\\end{array}$$

Find closest multiple of $36$ to $264$. We see that $7 \times 36 = 252$ is the nearest. Now subtract $252$ from $264$ to get reminder $12$. Add $7$ to quotient.

$$\begin{array}{l}\phantom{36)}00937\phantom{10}\\36\overline{)33744}\\\phantom{36)}\underline{\phantom{}324\phantom{99}}\\\phantom{36)9}134\\\phantom{36)}\underline{\phantom{9}108\phantom{9}}\\\phantom{36)99}264\\\phantom{36)}\underline{\phantom{99}252\phantom{}}\\\phantom{36)999}12\\\end{array}$$

Since $12$ is less than $36$, stop the division. The reminder is $12$. The topmost line $00937$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $937$.

$$\text{Quotient: }937$$ $$\text{Reminder: }12$$

Show Solution

Factor

$\frac{2 ^ {2} \cdot 19 \cdot 37}{3} = 937\frac{1}{3} = 937.3333333333334$

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Steps For Long Division Method

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