Solve 87436\div42 | Equatix

Question

$$87436 \div 42$$

Evaluate

$\frac{43718}{21}\approx 2081.80952381$

Steps For Long Division Method

Use the $1^{st}$ digit $8$ from dividend $87436$

$$\begin{array}{l}\phantom{42)}\phantom{1}\\42\overline{)87436}\\\end{array}$$

Since $8$ is less than $42$, use the next digit $7$ from dividend $87436$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{42)}0\phantom{2}\\42\overline{)87436}\\\end{array}$$

Use the $2^{nd}$ digit $7$ from dividend $87436$

$$\begin{array}{l}\phantom{42)}0\phantom{3}\\42\overline{)87436}\\\end{array}$$

Find closest multiple of $42$ to $87$. We see that $2 \times 42 = 84$ is the nearest. Now subtract $84$ from $87$ to get reminder $3$. Add $2$ to quotient.

$$\begin{array}{l}\phantom{42)}02\phantom{4}\\42\overline{)87436}\\\phantom{42)}\underline{\phantom{}84\phantom{999}}\\\phantom{42)9}3\\\end{array}$$

Use the $3^{rd}$ digit $4$ from dividend $87436$

$$\begin{array}{l}\phantom{42)}02\phantom{5}\\42\overline{)87436}\\\phantom{42)}\underline{\phantom{}84\phantom{999}}\\\phantom{42)9}34\\\end{array}$$

Since $34$ is less than $42$, use the next digit $3$ from dividend $87436$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{42)}020\phantom{6}\\42\overline{)87436}\\\phantom{42)}\underline{\phantom{}84\phantom{999}}\\\phantom{42)9}34\\\end{array}$$

Use the $4^{th}$ digit $3$ from dividend $87436$

$$\begin{array}{l}\phantom{42)}020\phantom{7}\\42\overline{)87436}\\\phantom{42)}\underline{\phantom{}84\phantom{999}}\\\phantom{42)9}343\\\end{array}$$

Find closest multiple of $42$ to $343$. We see that $8 \times 42 = 336$ is the nearest. Now subtract $336$ from $343$ to get reminder $7$. Add $8$ to quotient.

$$\begin{array}{l}\phantom{42)}0208\phantom{8}\\42\overline{)87436}\\\phantom{42)}\underline{\phantom{}84\phantom{999}}\\\phantom{42)9}343\\\phantom{42)}\underline{\phantom{9}336\phantom{9}}\\\phantom{42)999}7\\\end{array}$$

Use the $5^{th}$ digit $6$ from dividend $87436$

$$\begin{array}{l}\phantom{42)}0208\phantom{9}\\42\overline{)87436}\\\phantom{42)}\underline{\phantom{}84\phantom{999}}\\\phantom{42)9}343\\\phantom{42)}\underline{\phantom{9}336\phantom{9}}\\\phantom{42)999}76\\\end{array}$$

Find closest multiple of $42$ to $76$. We see that $1 \times 42 = 42$ is the nearest. Now subtract $42$ from $76$ to get reminder $34$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{42)}02081\phantom{10}\\42\overline{)87436}\\\phantom{42)}\underline{\phantom{}84\phantom{999}}\\\phantom{42)9}343\\\phantom{42)}\underline{\phantom{9}336\phantom{9}}\\\phantom{42)999}76\\\phantom{42)}\underline{\phantom{999}42\phantom{}}\\\phantom{42)999}34\\\end{array}$$

Since $34$ is less than $42$, stop the division. The reminder is $34$. The topmost line $02081$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $2081$.

$$\text{Quotient: }2081$$ $$\text{Reminder: }34$$

Show Solution

Factor

$\frac{2 \cdot 21859}{3 \cdot 7} = 2081\frac{17}{21} = 2081.809523809524$

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Steps For Long Division Method

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