How to solve 6332/121

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 6332/121 | Equatix

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Question

$$6332\div121$$

Evaluate

$\frac{6332}{121}\approx 52.330578512$

Steps For Long Division Method

Use the $1^{st}$ digit $6$ from dividend $6332$

$$\begin{array}{l}\phantom{121)}\phantom{1}\\121\overline{)6332}\\\end{array}$$

Since $6$ is less than $121$, use the next digit $3$ from dividend $6332$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{121)}0\phantom{2}\\121\overline{)6332}\\\end{array}$$

Use the $2^{nd}$ digit $3$ from dividend $6332$

$$\begin{array}{l}\phantom{121)}0\phantom{3}\\121\overline{)6332}\\\end{array}$$

Since $63$ is less than $121$, use the next digit $3$ from dividend $6332$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{121)}00\phantom{4}\\121\overline{)6332}\\\end{array}$$

Use the $3^{rd}$ digit $3$ from dividend $6332$

$$\begin{array}{l}\phantom{121)}00\phantom{5}\\121\overline{)6332}\\\end{array}$$

Find closest multiple of $121$ to $633$. We see that $5 \times 121 = 605$ is the nearest. Now subtract $605$ from $633$ to get reminder $28$. Add $5$ to quotient.

$$\begin{array}{l}\phantom{121)}005\phantom{6}\\121\overline{)6332}\\\phantom{121)}\underline{\phantom{}605\phantom{9}}\\\phantom{121)9}28\\\end{array}$$

Use the $4^{th}$ digit $2$ from dividend $6332$

$$\begin{array}{l}\phantom{121)}005\phantom{7}\\121\overline{)6332}\\\phantom{121)}\underline{\phantom{}605\phantom{9}}\\\phantom{121)9}282\\\end{array}$$

Find closest multiple of $121$ to $282$. We see that $2 \times 121 = 242$ is the nearest. Now subtract $242$ from $282$ to get reminder $40$. Add $2$ to quotient.

$$\begin{array}{l}\phantom{121)}0052\phantom{8}\\121\overline{)6332}\\\phantom{121)}\underline{\phantom{}605\phantom{9}}\\\phantom{121)9}282\\\phantom{121)}\underline{\phantom{9}242\phantom{}}\\\phantom{121)99}40\\\end{array}$$

Since $40$ is less than $121$, stop the division. The reminder is $40$. The topmost line $0052$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $52$.

$$\text{Quotient: }52$$ $$\text{Reminder: }40$$

Show Solution

Factor

$\frac{2 ^ {2} \cdot 1583}{11 ^ {2}} = 52\frac{40}{121} = 52.33057851239669$