How to solve (7387)/(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 (7387)/(34) | Equatix

Question

$$\frac{ 7387 }{ 34 }$$

Evaluate

$\frac{7387}{34}\approx 217.264705882$

Steps For Long Division Method

Use the $1^{st}$ digit $7$ from dividend $7387$

$$\begin{array}{l}\phantom{34)}\phantom{1}\\34\overline{)7387}\\\end{array}$$

Since $7$ is less than $34$, use the next digit $3$ from dividend $7387$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{34)}0\phantom{2}\\34\overline{)7387}\\\end{array}$$

Use the $2^{nd}$ digit $3$ from dividend $7387$

$$\begin{array}{l}\phantom{34)}0\phantom{3}\\34\overline{)7387}\\\end{array}$$

Find closest multiple of $34$ to $73$. We see that $2 \times 34 = 68$ is the nearest. Now subtract $68$ from $73$ to get reminder $5$. Add $2$ to quotient.

$$\begin{array}{l}\phantom{34)}02\phantom{4}\\34\overline{)7387}\\\phantom{34)}\underline{\phantom{}68\phantom{99}}\\\phantom{34)9}5\\\end{array}$$

Use the $3^{rd}$ digit $8$ from dividend $7387$

$$\begin{array}{l}\phantom{34)}02\phantom{5}\\34\overline{)7387}\\\phantom{34)}\underline{\phantom{}68\phantom{99}}\\\phantom{34)9}58\\\end{array}$$

Find closest multiple of $34$ to $58$. We see that $1 \times 34 = 34$ is the nearest. Now subtract $34$ from $58$ to get reminder $24$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{34)}021\phantom{6}\\34\overline{)7387}\\\phantom{34)}\underline{\phantom{}68\phantom{99}}\\\phantom{34)9}58\\\phantom{34)}\underline{\phantom{9}34\phantom{9}}\\\phantom{34)9}24\\\end{array}$$

Use the $4^{th}$ digit $7$ from dividend $7387$

$$\begin{array}{l}\phantom{34)}021\phantom{7}\\34\overline{)7387}\\\phantom{34)}\underline{\phantom{}68\phantom{99}}\\\phantom{34)9}58\\\phantom{34)}\underline{\phantom{9}34\phantom{9}}\\\phantom{34)9}247\\\end{array}$$

Find closest multiple of $34$ to $247$. We see that $7 \times 34 = 238$ is the nearest. Now subtract $238$ from $247$ to get reminder $9$. Add $7$ to quotient.

$$\begin{array}{l}\phantom{34)}0217\phantom{8}\\34\overline{)7387}\\\phantom{34)}\underline{\phantom{}68\phantom{99}}\\\phantom{34)9}58\\\phantom{34)}\underline{\phantom{9}34\phantom{9}}\\\phantom{34)9}247\\\phantom{34)}\underline{\phantom{9}238\phantom{}}\\\phantom{34)999}9\\\end{array}$$

Since $9$ is less than $34$, stop the division. The reminder is $9$. The topmost line $0217$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $217$.

$$\text{Quotient: }217$$ $$\text{Reminder: }9$$

Show Solution

Factor

$\frac{83 \cdot 89}{2 \cdot 17} = 217\frac{9}{34} = 217.26470588235293$

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Steps For Long Division Method

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