How to solve 61100/100

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 61100/100 | Equatix

Use the $1^{st}$ digit $6$ from dividend $61100$

$$\begin{array}{l}\phantom{100)}\phantom{1}\\100\overline{)61100}\\\end{array}$$

Since $6$ is less than $100$, use the next digit $1$ from dividend $61100$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{100)}0\phantom{2}\\100\overline{)61100}\\\end{array}$$

Use the $2^{nd}$ digit $1$ from dividend $61100$

$$\begin{array}{l}\phantom{100)}0\phantom{3}\\100\overline{)61100}\\\end{array}$$

Since $61$ is less than $100$, use the next digit $1$ from dividend $61100$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{100)}00\phantom{4}\\100\overline{)61100}\\\end{array}$$

Use the $3^{rd}$ digit $1$ from dividend $61100$

$$\begin{array}{l}\phantom{100)}00\phantom{5}\\100\overline{)61100}\\\end{array}$$

Find closest multiple of $100$ to $611$. We see that $6 \times 100 = 600$ is the nearest. Now subtract $600$ from $611$ to get reminder $11$. Add $6$ to quotient.

$$\begin{array}{l}\phantom{100)}006\phantom{6}\\100\overline{)61100}\\\phantom{100)}\underline{\phantom{}600\phantom{99}}\\\phantom{100)9}11\\\end{array}$$

Use the $4^{th}$ digit $0$ from dividend $61100$

$$\begin{array}{l}\phantom{100)}006\phantom{7}\\100\overline{)61100}\\\phantom{100)}\underline{\phantom{}600\phantom{99}}\\\phantom{100)9}110\\\end{array}$$

Find closest multiple of $100$ to $110$. We see that $1 \times 100 = 100$ is the nearest. Now subtract $100$ from $110$ to get reminder $10$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{100)}0061\phantom{8}\\100\overline{)61100}\\\phantom{100)}\underline{\phantom{}600\phantom{99}}\\\phantom{100)9}110\\\phantom{100)}\underline{\phantom{9}100\phantom{9}}\\\phantom{100)99}10\\\end{array}$$

Use the $5^{th}$ digit $0$ from dividend $61100$

$$\begin{array}{l}\phantom{100)}0061\phantom{9}\\100\overline{)61100}\\\phantom{100)}\underline{\phantom{}600\phantom{99}}\\\phantom{100)9}110\\\phantom{100)}\underline{\phantom{9}100\phantom{9}}\\\phantom{100)99}100\\\end{array}$$

Find closest multiple of $100$ to $100$. We see that $1 \times 100 = 100$ is the nearest. Now subtract $100$ from $100$ to get reminder $0$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{100)}00611\phantom{10}\\100\overline{)61100}\\\phantom{100)}\underline{\phantom{}600\phantom{99}}\\\phantom{100)9}110\\\phantom{100)}\underline{\phantom{9}100\phantom{9}}\\\phantom{100)99}100\\\phantom{100)}\underline{\phantom{99}100\phantom{}}\\\phantom{100)99999}0\\\end{array}$$

Since $0$ is less than $100$, stop the division. The reminder is $0$. The topmost line $00611$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $611$.

$$\text{Quotient: }611$$ $$\text{Reminder: }0$$

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