How to solve (2036)/(47)

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 (2036)/(47) | Equatix

Basic Math

Pre-Algebra

Algebra

Trigonometry

Calculus

Precalculus

Statistics

Finite Math

Linear Algebra

Chemistry

Question

$$\frac{ 2036 }{ 47 }$$

Evaluate

$\frac{2036}{47}\approx 43.319148936$

Steps For Long Division Method

Use the $1^{st}$ digit $2$ from dividend $2036$

$$\begin{array}{l}\phantom{47)}\phantom{1}\\47\overline{)2036}\\\end{array}$$

Since $2$ is less than $47$, use the next digit $0$ from dividend $2036$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{47)}0\phantom{2}\\47\overline{)2036}\\\end{array}$$

Use the $2^{nd}$ digit $0$ from dividend $2036$

$$\begin{array}{l}\phantom{47)}0\phantom{3}\\47\overline{)2036}\\\end{array}$$

Since $20$ is less than $47$, use the next digit $3$ from dividend $2036$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{47)}00\phantom{4}\\47\overline{)2036}\\\end{array}$$

Use the $3^{rd}$ digit $3$ from dividend $2036$

$$\begin{array}{l}\phantom{47)}00\phantom{5}\\47\overline{)2036}\\\end{array}$$

Find closest multiple of $47$ to $203$. We see that $4 \times 47 = 188$ is the nearest. Now subtract $188$ from $203$ to get reminder $15$. Add $4$ to quotient.

$$\begin{array}{l}\phantom{47)}004\phantom{6}\\47\overline{)2036}\\\phantom{47)}\underline{\phantom{}188\phantom{9}}\\\phantom{47)9}15\\\end{array}$$

Use the $4^{th}$ digit $6$ from dividend $2036$

$$\begin{array}{l}\phantom{47)}004\phantom{7}\\47\overline{)2036}\\\phantom{47)}\underline{\phantom{}188\phantom{9}}\\\phantom{47)9}156\\\end{array}$$

Find closest multiple of $47$ to $156$. We see that $3 \times 47 = 141$ is the nearest. Now subtract $141$ from $156$ to get reminder $15$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{47)}0043\phantom{8}\\47\overline{)2036}\\\phantom{47)}\underline{\phantom{}188\phantom{9}}\\\phantom{47)9}156\\\phantom{47)}\underline{\phantom{9}141\phantom{}}\\\phantom{47)99}15\\\end{array}$$

Since $15$ is less than $47$, stop the division. The reminder is $15$. The topmost line $0043$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $43$.

$$\text{Quotient: }43$$ $$\text{Reminder: }15$$

Show Solution

Factor

$\frac{2 ^ {2} \cdot 509}{47} = 43\frac{15}{47} = 43.319148936170215$