Solve 67605\div42 | Equatix

Question

$$67605 \div 42$$

Evaluate

$\frac{22535}{14}\approx 1609.642857143$

Steps For Long Division Method

Use the $1^{st}$ digit $6$ from dividend $67605$

$$\begin{array}{l}\phantom{42)}\phantom{1}\\42\overline{)67605}\\\end{array}$$

Since $6$ is less than $42$, use the next digit $7$ from dividend $67605$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{42)}0\phantom{2}\\42\overline{)67605}\\\end{array}$$

Use the $2^{nd}$ digit $7$ from dividend $67605$

$$\begin{array}{l}\phantom{42)}0\phantom{3}\\42\overline{)67605}\\\end{array}$$

Find closest multiple of $42$ to $67$. We see that $1 \times 42 = 42$ is the nearest. Now subtract $42$ from $67$ to get reminder $25$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{42)}01\phantom{4}\\42\overline{)67605}\\\phantom{42)}\underline{\phantom{}42\phantom{999}}\\\phantom{42)}25\\\end{array}$$

Use the $3^{rd}$ digit $6$ from dividend $67605$

$$\begin{array}{l}\phantom{42)}01\phantom{5}\\42\overline{)67605}\\\phantom{42)}\underline{\phantom{}42\phantom{999}}\\\phantom{42)}256\\\end{array}$$

Find closest multiple of $42$ to $256$. We see that $6 \times 42 = 252$ is the nearest. Now subtract $252$ from $256$ to get reminder $4$. Add $6$ to quotient.

$$\begin{array}{l}\phantom{42)}016\phantom{6}\\42\overline{)67605}\\\phantom{42)}\underline{\phantom{}42\phantom{999}}\\\phantom{42)}256\\\phantom{42)}\underline{\phantom{}252\phantom{99}}\\\phantom{42)99}4\\\end{array}$$

Use the $4^{th}$ digit $0$ from dividend $67605$

$$\begin{array}{l}\phantom{42)}016\phantom{7}\\42\overline{)67605}\\\phantom{42)}\underline{\phantom{}42\phantom{999}}\\\phantom{42)}256\\\phantom{42)}\underline{\phantom{}252\phantom{99}}\\\phantom{42)99}40\\\end{array}$$

Since $40$ is less than $42$, use the next digit $5$ from dividend $67605$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{42)}0160\phantom{8}\\42\overline{)67605}\\\phantom{42)}\underline{\phantom{}42\phantom{999}}\\\phantom{42)}256\\\phantom{42)}\underline{\phantom{}252\phantom{99}}\\\phantom{42)99}40\\\end{array}$$

Use the $5^{th}$ digit $5$ from dividend $67605$

$$\begin{array}{l}\phantom{42)}0160\phantom{9}\\42\overline{)67605}\\\phantom{42)}\underline{\phantom{}42\phantom{999}}\\\phantom{42)}256\\\phantom{42)}\underline{\phantom{}252\phantom{99}}\\\phantom{42)99}405\\\end{array}$$

Find closest multiple of $42$ to $405$. We see that $9 \times 42 = 378$ is the nearest. Now subtract $378$ from $405$ to get reminder $27$. Add $9$ to quotient.

$$\begin{array}{l}\phantom{42)}01609\phantom{10}\\42\overline{)67605}\\\phantom{42)}\underline{\phantom{}42\phantom{999}}\\\phantom{42)}256\\\phantom{42)}\underline{\phantom{}252\phantom{99}}\\\phantom{42)99}405\\\phantom{42)}\underline{\phantom{99}378\phantom{}}\\\phantom{42)999}27\\\end{array}$$

Since $27$ is less than $42$, stop the division. The reminder is $27$. The topmost line $01609$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $1609$.

$$\text{Quotient: }1609$$ $$\text{Reminder: }27$$

Show Solution

Factor

$\frac{5 \cdot 4507}{2 \cdot 7} = 1609\frac{9}{14} = 1609.642857142857$

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Steps For Long Division Method

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