How to solve 56091/21

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 56091/21 | Equatix

Use the $1^{st}$ digit $5$ from dividend $56091$

$$\begin{array}{l}\phantom{21)}\phantom{1}\\21\overline{)56091}\\\end{array}$$

Since $5$ is less than $21$, use the next digit $6$ from dividend $56091$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{21)}0\phantom{2}\\21\overline{)56091}\\\end{array}$$

Use the $2^{nd}$ digit $6$ from dividend $56091$

$$\begin{array}{l}\phantom{21)}0\phantom{3}\\21\overline{)56091}\\\end{array}$$

Find closest multiple of $21$ to $56$. We see that $2 \times 21 = 42$ is the nearest. Now subtract $42$ from $56$ to get reminder $14$. Add $2$ to quotient.

$$\begin{array}{l}\phantom{21)}02\phantom{4}\\21\overline{)56091}\\\phantom{21)}\underline{\phantom{}42\phantom{999}}\\\phantom{21)}14\\\end{array}$$

Use the $3^{rd}$ digit $0$ from dividend $56091$

$$\begin{array}{l}\phantom{21)}02\phantom{5}\\21\overline{)56091}\\\phantom{21)}\underline{\phantom{}42\phantom{999}}\\\phantom{21)}140\\\end{array}$$

Find closest multiple of $21$ to $140$. We see that $6 \times 21 = 126$ is the nearest. Now subtract $126$ from $140$ to get reminder $14$. Add $6$ to quotient.

$$\begin{array}{l}\phantom{21)}026\phantom{6}\\21\overline{)56091}\\\phantom{21)}\underline{\phantom{}42\phantom{999}}\\\phantom{21)}140\\\phantom{21)}\underline{\phantom{}126\phantom{99}}\\\phantom{21)9}14\\\end{array}$$

Use the $4^{th}$ digit $9$ from dividend $56091$

$$\begin{array}{l}\phantom{21)}026\phantom{7}\\21\overline{)56091}\\\phantom{21)}\underline{\phantom{}42\phantom{999}}\\\phantom{21)}140\\\phantom{21)}\underline{\phantom{}126\phantom{99}}\\\phantom{21)9}149\\\end{array}$$

Find closest multiple of $21$ to $149$. We see that $7 \times 21 = 147$ is the nearest. Now subtract $147$ from $149$ to get reminder $2$. Add $7$ to quotient.

$$\begin{array}{l}\phantom{21)}0267\phantom{8}\\21\overline{)56091}\\\phantom{21)}\underline{\phantom{}42\phantom{999}}\\\phantom{21)}140\\\phantom{21)}\underline{\phantom{}126\phantom{99}}\\\phantom{21)9}149\\\phantom{21)}\underline{\phantom{9}147\phantom{9}}\\\phantom{21)999}2\\\end{array}$$

Use the $5^{th}$ digit $1$ from dividend $56091$

$$\begin{array}{l}\phantom{21)}0267\phantom{9}\\21\overline{)56091}\\\phantom{21)}\underline{\phantom{}42\phantom{999}}\\\phantom{21)}140\\\phantom{21)}\underline{\phantom{}126\phantom{99}}\\\phantom{21)9}149\\\phantom{21)}\underline{\phantom{9}147\phantom{9}}\\\phantom{21)999}21\\\end{array}$$

Find closest multiple of $21$ to $21$. We see that $1 \times 21 = 21$ is the nearest. Now subtract $21$ from $21$ to get reminder $0$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{21)}02671\phantom{10}\\21\overline{)56091}\\\phantom{21)}\underline{\phantom{}42\phantom{999}}\\\phantom{21)}140\\\phantom{21)}\underline{\phantom{}126\phantom{99}}\\\phantom{21)9}149\\\phantom{21)}\underline{\phantom{9}147\phantom{9}}\\\phantom{21)999}21\\\phantom{21)}\underline{\phantom{999}21\phantom{}}\\\phantom{21)99999}0\\\end{array}$$

Since $0$ is less than $21$, stop the division. The reminder is $0$. The topmost line $02671$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $2671$.

$$\text{Quotient: }2671$$ $$\text{Reminder: }0$$

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