How to solve 234686/37

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 234686/37 | Equatix

Question

$$234686/37$$

Evaluate

$\frac{234686}{37}\approx 6342.864864865$

Steps For Long Division Method

Use the $1^{st}$ digit $2$ from dividend $234686$

$$\begin{array}{l}\phantom{37)}\phantom{1}\\37\overline{)234686}\\\end{array}$$

Since $2$ is less than $37$, use the next digit $3$ from dividend $234686$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{37)}0\phantom{2}\\37\overline{)234686}\\\end{array}$$

Use the $2^{nd}$ digit $3$ from dividend $234686$

$$\begin{array}{l}\phantom{37)}0\phantom{3}\\37\overline{)234686}\\\end{array}$$

Since $23$ is less than $37$, use the next digit $4$ from dividend $234686$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{37)}00\phantom{4}\\37\overline{)234686}\\\end{array}$$

Use the $3^{rd}$ digit $4$ from dividend $234686$

$$\begin{array}{l}\phantom{37)}00\phantom{5}\\37\overline{)234686}\\\end{array}$$

Find closest multiple of $37$ to $234$. We see that $6 \times 37 = 222$ is the nearest. Now subtract $222$ from $234$ to get reminder $12$. Add $6$ to quotient.

$$\begin{array}{l}\phantom{37)}006\phantom{6}\\37\overline{)234686}\\\phantom{37)}\underline{\phantom{}222\phantom{999}}\\\phantom{37)9}12\\\end{array}$$

Use the $4^{th}$ digit $6$ from dividend $234686$

$$\begin{array}{l}\phantom{37)}006\phantom{7}\\37\overline{)234686}\\\phantom{37)}\underline{\phantom{}222\phantom{999}}\\\phantom{37)9}126\\\end{array}$$

Find closest multiple of $37$ to $126$. We see that $3 \times 37 = 111$ is the nearest. Now subtract $111$ from $126$ to get reminder $15$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{37)}0063\phantom{8}\\37\overline{)234686}\\\phantom{37)}\underline{\phantom{}222\phantom{999}}\\\phantom{37)9}126\\\phantom{37)}\underline{\phantom{9}111\phantom{99}}\\\phantom{37)99}15\\\end{array}$$

Use the $5^{th}$ digit $8$ from dividend $234686$

$$\begin{array}{l}\phantom{37)}0063\phantom{9}\\37\overline{)234686}\\\phantom{37)}\underline{\phantom{}222\phantom{999}}\\\phantom{37)9}126\\\phantom{37)}\underline{\phantom{9}111\phantom{99}}\\\phantom{37)99}158\\\end{array}$$

Find closest multiple of $37$ to $158$. We see that $4 \times 37 = 148$ is the nearest. Now subtract $148$ from $158$ to get reminder $10$. Add $4$ to quotient.

$$\begin{array}{l}\phantom{37)}00634\phantom{10}\\37\overline{)234686}\\\phantom{37)}\underline{\phantom{}222\phantom{999}}\\\phantom{37)9}126\\\phantom{37)}\underline{\phantom{9}111\phantom{99}}\\\phantom{37)99}158\\\phantom{37)}\underline{\phantom{99}148\phantom{9}}\\\phantom{37)999}10\\\end{array}$$

Use the $6^{th}$ digit $6$ from dividend $234686$

$$\begin{array}{l}\phantom{37)}00634\phantom{11}\\37\overline{)234686}\\\phantom{37)}\underline{\phantom{}222\phantom{999}}\\\phantom{37)9}126\\\phantom{37)}\underline{\phantom{9}111\phantom{99}}\\\phantom{37)99}158\\\phantom{37)}\underline{\phantom{99}148\phantom{9}}\\\phantom{37)999}106\\\end{array}$$

Find closest multiple of $37$ to $106$. We see that $2 \times 37 = 74$ is the nearest. Now subtract $74$ from $106$ to get reminder $32$. Add $2$ to quotient.

$$\begin{array}{l}\phantom{37)}006342\phantom{12}\\37\overline{)234686}\\\phantom{37)}\underline{\phantom{}222\phantom{999}}\\\phantom{37)9}126\\\phantom{37)}\underline{\phantom{9}111\phantom{99}}\\\phantom{37)99}158\\\phantom{37)}\underline{\phantom{99}148\phantom{9}}\\\phantom{37)999}106\\\phantom{37)}\underline{\phantom{9999}74\phantom{}}\\\phantom{37)9999}32\\\end{array}$$

Since $32$ is less than $37$, stop the division. The reminder is $32$. The topmost line $006342$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $6342$.

$$\text{Quotient: }6342$$ $$\text{Reminder: }32$$

Show Solution

Factor

$\frac{2 \cdot 271 \cdot 433}{37} = 6342\frac{32}{37} = 6342.864864864865$

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Steps For Long Division Method

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