How to solve 36032/34

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 36032/34 | Equatix

Question

$$36032\div34$$

Evaluate

$\frac{18016}{17}\approx 1059.764705882$

Steps For Long Division Method

Use the $1^{st}$ digit $3$ from dividend $36032$

$$\begin{array}{l}\phantom{34)}\phantom{1}\\34\overline{)36032}\\\end{array}$$

Since $3$ is less than $34$, use the next digit $6$ from dividend $36032$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{34)}0\phantom{2}\\34\overline{)36032}\\\end{array}$$

Use the $2^{nd}$ digit $6$ from dividend $36032$

$$\begin{array}{l}\phantom{34)}0\phantom{3}\\34\overline{)36032}\\\end{array}$$

Find closest multiple of $34$ to $36$. We see that $1 \times 34 = 34$ is the nearest. Now subtract $34$ from $36$ to get reminder $2$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{34)}01\phantom{4}\\34\overline{)36032}\\\phantom{34)}\underline{\phantom{}34\phantom{999}}\\\phantom{34)9}2\\\end{array}$$

Use the $3^{rd}$ digit $0$ from dividend $36032$

$$\begin{array}{l}\phantom{34)}01\phantom{5}\\34\overline{)36032}\\\phantom{34)}\underline{\phantom{}34\phantom{999}}\\\phantom{34)9}20\\\end{array}$$

Since $20$ is less than $34$, use the next digit $3$ from dividend $36032$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{34)}010\phantom{6}\\34\overline{)36032}\\\phantom{34)}\underline{\phantom{}34\phantom{999}}\\\phantom{34)9}20\\\end{array}$$

Use the $4^{th}$ digit $3$ from dividend $36032$

$$\begin{array}{l}\phantom{34)}010\phantom{7}\\34\overline{)36032}\\\phantom{34)}\underline{\phantom{}34\phantom{999}}\\\phantom{34)9}203\\\end{array}$$

Find closest multiple of $34$ to $203$. We see that $5 \times 34 = 170$ is the nearest. Now subtract $170$ from $203$ to get reminder $33$. Add $5$ to quotient.

$$\begin{array}{l}\phantom{34)}0105\phantom{8}\\34\overline{)36032}\\\phantom{34)}\underline{\phantom{}34\phantom{999}}\\\phantom{34)9}203\\\phantom{34)}\underline{\phantom{9}170\phantom{9}}\\\phantom{34)99}33\\\end{array}$$

Use the $5^{th}$ digit $2$ from dividend $36032$

$$\begin{array}{l}\phantom{34)}0105\phantom{9}\\34\overline{)36032}\\\phantom{34)}\underline{\phantom{}34\phantom{999}}\\\phantom{34)9}203\\\phantom{34)}\underline{\phantom{9}170\phantom{9}}\\\phantom{34)99}332\\\end{array}$$

Find closest multiple of $34$ to $332$. We see that $9 \times 34 = 306$ is the nearest. Now subtract $306$ from $332$ to get reminder $26$. Add $9$ to quotient.

$$\begin{array}{l}\phantom{34)}01059\phantom{10}\\34\overline{)36032}\\\phantom{34)}\underline{\phantom{}34\phantom{999}}\\\phantom{34)9}203\\\phantom{34)}\underline{\phantom{9}170\phantom{9}}\\\phantom{34)99}332\\\phantom{34)}\underline{\phantom{99}306\phantom{}}\\\phantom{34)999}26\\\end{array}$$

Since $26$ is less than $34$, stop the division. The reminder is $26$. The topmost line $01059$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $1059$.

$$\text{Quotient: }1059$$ $$\text{Reminder: }26$$

Show Solution

Factor

$\frac{2 ^ {5} \cdot 563}{17} = 1059\frac{13}{17} = 1059.764705882353$

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Steps For Long Division Method

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