Solve 4362\div16 | Equatix

Question

$$4362 \div 16$$

Evaluate

$\frac{2181}{8}=272.625$

Steps For Long Division Method

Use the $1^{st}$ digit $4$ from dividend $4362$

$$\begin{array}{l}\phantom{16)}\phantom{1}\\16\overline{)4362}\\\end{array}$$

Since $4$ is less than $16$, use the next digit $3$ from dividend $4362$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{16)}0\phantom{2}\\16\overline{)4362}\\\end{array}$$

Use the $2^{nd}$ digit $3$ from dividend $4362$

$$\begin{array}{l}\phantom{16)}0\phantom{3}\\16\overline{)4362}\\\end{array}$$

Find closest multiple of $16$ to $43$. We see that $2 \times 16 = 32$ is the nearest. Now subtract $32$ from $43$ to get reminder $11$. Add $2$ to quotient.

$$\begin{array}{l}\phantom{16)}02\phantom{4}\\16\overline{)4362}\\\phantom{16)}\underline{\phantom{}32\phantom{99}}\\\phantom{16)}11\\\end{array}$$

Use the $3^{rd}$ digit $6$ from dividend $4362$

$$\begin{array}{l}\phantom{16)}02\phantom{5}\\16\overline{)4362}\\\phantom{16)}\underline{\phantom{}32\phantom{99}}\\\phantom{16)}116\\\end{array}$$

Find closest multiple of $16$ to $116$. We see that $7 \times 16 = 112$ is the nearest. Now subtract $112$ from $116$ to get reminder $4$. Add $7$ to quotient.

$$\begin{array}{l}\phantom{16)}027\phantom{6}\\16\overline{)4362}\\\phantom{16)}\underline{\phantom{}32\phantom{99}}\\\phantom{16)}116\\\phantom{16)}\underline{\phantom{}112\phantom{9}}\\\phantom{16)99}4\\\end{array}$$

Use the $4^{th}$ digit $2$ from dividend $4362$

$$\begin{array}{l}\phantom{16)}027\phantom{7}\\16\overline{)4362}\\\phantom{16)}\underline{\phantom{}32\phantom{99}}\\\phantom{16)}116\\\phantom{16)}\underline{\phantom{}112\phantom{9}}\\\phantom{16)99}42\\\end{array}$$

Find closest multiple of $16$ to $42$. We see that $2 \times 16 = 32$ is the nearest. Now subtract $32$ from $42$ to get reminder $10$. Add $2$ to quotient.

$$\begin{array}{l}\phantom{16)}0272\phantom{8}\\16\overline{)4362}\\\phantom{16)}\underline{\phantom{}32\phantom{99}}\\\phantom{16)}116\\\phantom{16)}\underline{\phantom{}112\phantom{9}}\\\phantom{16)99}42\\\phantom{16)}\underline{\phantom{99}32\phantom{}}\\\phantom{16)99}10\\\end{array}$$

Since $10$ is less than $16$, stop the division. The reminder is $10$. The topmost line $0272$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $272$.

$$\text{Quotient: }272$$ $$\text{Reminder: }10$$

Show Solution

Factor

$\frac{3 \cdot 727}{2 ^ {3}} = 272\frac{5}{8} = 272.625$

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Steps For Long Division Method

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