How to solve (3115)/(53)

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 (3115)/(53) | Equatix

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Question

$$\frac{ 3115 }{ 53 }$$

Evaluate

$\frac{3115}{53}\approx 58.773584906$

Steps For Long Division Method

Use the $1^{st}$ digit $3$ from dividend $3115$

$$\begin{array}{l}\phantom{53)}\phantom{1}\\53\overline{)3115}\\\end{array}$$

Since $3$ is less than $53$, use the next digit $1$ from dividend $3115$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{53)}0\phantom{2}\\53\overline{)3115}\\\end{array}$$

Use the $2^{nd}$ digit $1$ from dividend $3115$

$$\begin{array}{l}\phantom{53)}0\phantom{3}\\53\overline{)3115}\\\end{array}$$

Since $31$ is less than $53$, use the next digit $1$ from dividend $3115$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{53)}00\phantom{4}\\53\overline{)3115}\\\end{array}$$

Use the $3^{rd}$ digit $1$ from dividend $3115$

$$\begin{array}{l}\phantom{53)}00\phantom{5}\\53\overline{)3115}\\\end{array}$$

Find closest multiple of $53$ to $311$. We see that $5 \times 53 = 265$ is the nearest. Now subtract $265$ from $311$ to get reminder $46$. Add $5$ to quotient.

$$\begin{array}{l}\phantom{53)}005\phantom{6}\\53\overline{)3115}\\\phantom{53)}\underline{\phantom{}265\phantom{9}}\\\phantom{53)9}46\\\end{array}$$

Use the $4^{th}$ digit $5$ from dividend $3115$

$$\begin{array}{l}\phantom{53)}005\phantom{7}\\53\overline{)3115}\\\phantom{53)}\underline{\phantom{}265\phantom{9}}\\\phantom{53)9}465\\\end{array}$$

Find closest multiple of $53$ to $465$. We see that $8 \times 53 = 424$ is the nearest. Now subtract $424$ from $465$ to get reminder $41$. Add $8$ to quotient.

$$\begin{array}{l}\phantom{53)}0058\phantom{8}\\53\overline{)3115}\\\phantom{53)}\underline{\phantom{}265\phantom{9}}\\\phantom{53)9}465\\\phantom{53)}\underline{\phantom{9}424\phantom{}}\\\phantom{53)99}41\\\end{array}$$

Since $41$ is less than $53$, stop the division. The reminder is $41$. The topmost line $0058$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $58$.

$$\text{Quotient: }58$$ $$\text{Reminder: }41$$

Show Solution

Factor

$\frac{5 \cdot 7 \cdot 89}{53} = 58\frac{41}{53} = 58.77358490566038$