How to solve 76549/16

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 76549/16 | Equatix

Question

$$76549/16$$

Evaluate

$\frac{76549}{16}=4784.3125$

Steps For Long Division Method

Use the $1^{st}$ digit $7$ from dividend $76549$

$$\begin{array}{l}\phantom{16)}\phantom{1}\\16\overline{)76549}\\\end{array}$$

Since $7$ is less than $16$, use the next digit $6$ from dividend $76549$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{16)}0\phantom{2}\\16\overline{)76549}\\\end{array}$$

Use the $2^{nd}$ digit $6$ from dividend $76549$

$$\begin{array}{l}\phantom{16)}0\phantom{3}\\16\overline{)76549}\\\end{array}$$

Find closest multiple of $16$ to $76$. We see that $4 \times 16 = 64$ is the nearest. Now subtract $64$ from $76$ to get reminder $12$. Add $4$ to quotient.

$$\begin{array}{l}\phantom{16)}04\phantom{4}\\16\overline{)76549}\\\phantom{16)}\underline{\phantom{}64\phantom{999}}\\\phantom{16)}12\\\end{array}$$

Use the $3^{rd}$ digit $5$ from dividend $76549$

$$\begin{array}{l}\phantom{16)}04\phantom{5}\\16\overline{)76549}\\\phantom{16)}\underline{\phantom{}64\phantom{999}}\\\phantom{16)}125\\\end{array}$$

Find closest multiple of $16$ to $125$. We see that $7 \times 16 = 112$ is the nearest. Now subtract $112$ from $125$ to get reminder $13$. Add $7$ to quotient.

$$\begin{array}{l}\phantom{16)}047\phantom{6}\\16\overline{)76549}\\\phantom{16)}\underline{\phantom{}64\phantom{999}}\\\phantom{16)}125\\\phantom{16)}\underline{\phantom{}112\phantom{99}}\\\phantom{16)9}13\\\end{array}$$

Use the $4^{th}$ digit $4$ from dividend $76549$

$$\begin{array}{l}\phantom{16)}047\phantom{7}\\16\overline{)76549}\\\phantom{16)}\underline{\phantom{}64\phantom{999}}\\\phantom{16)}125\\\phantom{16)}\underline{\phantom{}112\phantom{99}}\\\phantom{16)9}134\\\end{array}$$

Find closest multiple of $16$ to $134$. We see that $8 \times 16 = 128$ is the nearest. Now subtract $128$ from $134$ to get reminder $6$. Add $8$ to quotient.

$$\begin{array}{l}\phantom{16)}0478\phantom{8}\\16\overline{)76549}\\\phantom{16)}\underline{\phantom{}64\phantom{999}}\\\phantom{16)}125\\\phantom{16)}\underline{\phantom{}112\phantom{99}}\\\phantom{16)9}134\\\phantom{16)}\underline{\phantom{9}128\phantom{9}}\\\phantom{16)999}6\\\end{array}$$

Use the $5^{th}$ digit $9$ from dividend $76549$

$$\begin{array}{l}\phantom{16)}0478\phantom{9}\\16\overline{)76549}\\\phantom{16)}\underline{\phantom{}64\phantom{999}}\\\phantom{16)}125\\\phantom{16)}\underline{\phantom{}112\phantom{99}}\\\phantom{16)9}134\\\phantom{16)}\underline{\phantom{9}128\phantom{9}}\\\phantom{16)999}69\\\end{array}$$

Find closest multiple of $16$ to $69$. We see that $4 \times 16 = 64$ is the nearest. Now subtract $64$ from $69$ to get reminder $5$. Add $4$ to quotient.

$$\begin{array}{l}\phantom{16)}04784\phantom{10}\\16\overline{)76549}\\\phantom{16)}\underline{\phantom{}64\phantom{999}}\\\phantom{16)}125\\\phantom{16)}\underline{\phantom{}112\phantom{99}}\\\phantom{16)9}134\\\phantom{16)}\underline{\phantom{9}128\phantom{9}}\\\phantom{16)999}69\\\phantom{16)}\underline{\phantom{999}64\phantom{}}\\\phantom{16)9999}5\\\end{array}$$

Since $5$ is less than $16$, stop the division. The reminder is $5$. The topmost line $04784$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $4784$.

$$\text{Quotient: }4784$$ $$\text{Reminder: }5$$

Show Solution

Factor

$\frac{11 \cdot 6959}{2 ^ {4}} = 4784\frac{5}{16} = 4784.3125$

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Steps For Long Division Method

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