How to solve (34396)/(64)

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 (34396)/(64) | Equatix

Question

$$\frac{ 34396 }{ 64 }$$

Evaluate

$\frac{8599}{16}=537.4375$

Steps For Long Division Method

Use the $1^{st}$ digit $3$ from dividend $34396$

$$\begin{array}{l}\phantom{64)}\phantom{1}\\64\overline{)34396}\\\end{array}$$

Since $3$ is less than $64$, use the next digit $4$ from dividend $34396$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{64)}0\phantom{2}\\64\overline{)34396}\\\end{array}$$

Use the $2^{nd}$ digit $4$ from dividend $34396$

$$\begin{array}{l}\phantom{64)}0\phantom{3}\\64\overline{)34396}\\\end{array}$$

Since $34$ is less than $64$, use the next digit $3$ from dividend $34396$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{64)}00\phantom{4}\\64\overline{)34396}\\\end{array}$$

Use the $3^{rd}$ digit $3$ from dividend $34396$

$$\begin{array}{l}\phantom{64)}00\phantom{5}\\64\overline{)34396}\\\end{array}$$

Find closest multiple of $64$ to $343$. We see that $5 \times 64 = 320$ is the nearest. Now subtract $320$ from $343$ to get reminder $23$. Add $5$ to quotient.

$$\begin{array}{l}\phantom{64)}005\phantom{6}\\64\overline{)34396}\\\phantom{64)}\underline{\phantom{}320\phantom{99}}\\\phantom{64)9}23\\\end{array}$$

Use the $4^{th}$ digit $9$ from dividend $34396$

$$\begin{array}{l}\phantom{64)}005\phantom{7}\\64\overline{)34396}\\\phantom{64)}\underline{\phantom{}320\phantom{99}}\\\phantom{64)9}239\\\end{array}$$

Find closest multiple of $64$ to $239$. We see that $3 \times 64 = 192$ is the nearest. Now subtract $192$ from $239$ to get reminder $47$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{64)}0053\phantom{8}\\64\overline{)34396}\\\phantom{64)}\underline{\phantom{}320\phantom{99}}\\\phantom{64)9}239\\\phantom{64)}\underline{\phantom{9}192\phantom{9}}\\\phantom{64)99}47\\\end{array}$$

Use the $5^{th}$ digit $6$ from dividend $34396$

$$\begin{array}{l}\phantom{64)}0053\phantom{9}\\64\overline{)34396}\\\phantom{64)}\underline{\phantom{}320\phantom{99}}\\\phantom{64)9}239\\\phantom{64)}\underline{\phantom{9}192\phantom{9}}\\\phantom{64)99}476\\\end{array}$$

Find closest multiple of $64$ to $476$. We see that $7 \times 64 = 448$ is the nearest. Now subtract $448$ from $476$ to get reminder $28$. Add $7$ to quotient.

$$\begin{array}{l}\phantom{64)}00537\phantom{10}\\64\overline{)34396}\\\phantom{64)}\underline{\phantom{}320\phantom{99}}\\\phantom{64)9}239\\\phantom{64)}\underline{\phantom{9}192\phantom{9}}\\\phantom{64)99}476\\\phantom{64)}\underline{\phantom{99}448\phantom{}}\\\phantom{64)999}28\\\end{array}$$

Since $28$ is less than $64$, stop the division. The reminder is $28$. The topmost line $00537$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $537$.

$$\text{Quotient: }537$$ $$\text{Reminder: }28$$

Show Solution

Factor

$\frac{8599}{2 ^ {4}} = 537\frac{7}{16} = 537.4375$

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Steps For Long Division Method

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