How to solve 38640/806

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 38640/806 | Equatix

Question

$$38640\div806$$

Evaluate

$\frac{19320}{403}\approx 47.94044665$

Steps For Long Division Method

Use the $1^{st}$ digit $3$ from dividend $38640$

$$\begin{array}{l}\phantom{806)}\phantom{1}\\806\overline{)38640}\\\end{array}$$

Since $3$ is less than $806$, use the next digit $8$ from dividend $38640$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{806)}0\phantom{2}\\806\overline{)38640}\\\end{array}$$

Use the $2^{nd}$ digit $8$ from dividend $38640$

$$\begin{array}{l}\phantom{806)}0\phantom{3}\\806\overline{)38640}\\\end{array}$$

Since $38$ is less than $806$, use the next digit $6$ from dividend $38640$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{806)}00\phantom{4}\\806\overline{)38640}\\\end{array}$$

Use the $3^{rd}$ digit $6$ from dividend $38640$

$$\begin{array}{l}\phantom{806)}00\phantom{5}\\806\overline{)38640}\\\end{array}$$

Since $386$ is less than $806$, use the next digit $4$ from dividend $38640$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{806)}000\phantom{6}\\806\overline{)38640}\\\end{array}$$

Use the $4^{th}$ digit $4$ from dividend $38640$

$$\begin{array}{l}\phantom{806)}000\phantom{7}\\806\overline{)38640}\\\end{array}$$

Find closest multiple of $806$ to $3864$. We see that $4 \times 806 = 3224$ is the nearest. Now subtract $3224$ from $3864$ to get reminder $640$. Add $4$ to quotient.

$$\begin{array}{l}\phantom{806)}0004\phantom{8}\\806\overline{)38640}\\\phantom{806)}\underline{\phantom{}3224\phantom{9}}\\\phantom{806)9}640\\\end{array}$$

Use the $5^{th}$ digit $0$ from dividend $38640$

$$\begin{array}{l}\phantom{806)}0004\phantom{9}\\806\overline{)38640}\\\phantom{806)}\underline{\phantom{}3224\phantom{9}}\\\phantom{806)9}6400\\\end{array}$$

Find closest multiple of $806$ to $6400$. We see that $7 \times 806 = 5642$ is the nearest. Now subtract $5642$ from $6400$ to get reminder $758$. Add $7$ to quotient.

$$\begin{array}{l}\phantom{806)}00047\phantom{10}\\806\overline{)38640}\\\phantom{806)}\underline{\phantom{}3224\phantom{9}}\\\phantom{806)9}6400\\\phantom{806)}\underline{\phantom{9}5642\phantom{}}\\\phantom{806)99}758\\\end{array}$$

Since $758$ is less than $806$, stop the division. The reminder is $758$. The topmost line $00047$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $47$.

$$\text{Quotient: }47$$ $$\text{Reminder: }758$$

Show Solution

Factor

$\frac{2 ^ {3} \cdot 3 \cdot 5 \cdot 7 \cdot 23}{13 \cdot 31} = 47\frac{379}{403} = 47.940446650124066$

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Steps For Long Division Method

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