How to solve 978626/11

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 978626/11 | Equatix

Use the $1^{st}$ digit $9$ from dividend $978626$

$$\begin{array}{l}\phantom{11)}\phantom{1}\\11\overline{)978626}\\\end{array}$$

Since $9$ is less than $11$, use the next digit $7$ from dividend $978626$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{11)}0\phantom{2}\\11\overline{)978626}\\\end{array}$$

Use the $2^{nd}$ digit $7$ from dividend $978626$

$$\begin{array}{l}\phantom{11)}0\phantom{3}\\11\overline{)978626}\\\end{array}$$

Find closest multiple of $11$ to $97$. We see that $8 \times 11 = 88$ is the nearest. Now subtract $88$ from $97$ to get reminder $9$. Add $8$ to quotient.

$$\begin{array}{l}\phantom{11)}08\phantom{4}\\11\overline{)978626}\\\phantom{11)}\underline{\phantom{}88\phantom{9999}}\\\phantom{11)9}9\\\end{array}$$

Use the $3^{rd}$ digit $8$ from dividend $978626$

$$\begin{array}{l}\phantom{11)}08\phantom{5}\\11\overline{)978626}\\\phantom{11)}\underline{\phantom{}88\phantom{9999}}\\\phantom{11)9}98\\\end{array}$$

Find closest multiple of $11$ to $98$. We see that $8 \times 11 = 88$ is the nearest. Now subtract $88$ from $98$ to get reminder $10$. Add $8$ to quotient.

$$\begin{array}{l}\phantom{11)}088\phantom{6}\\11\overline{)978626}\\\phantom{11)}\underline{\phantom{}88\phantom{9999}}\\\phantom{11)9}98\\\phantom{11)}\underline{\phantom{9}88\phantom{999}}\\\phantom{11)9}10\\\end{array}$$

Use the $4^{th}$ digit $6$ from dividend $978626$

$$\begin{array}{l}\phantom{11)}088\phantom{7}\\11\overline{)978626}\\\phantom{11)}\underline{\phantom{}88\phantom{9999}}\\\phantom{11)9}98\\\phantom{11)}\underline{\phantom{9}88\phantom{999}}\\\phantom{11)9}106\\\end{array}$$

Find closest multiple of $11$ to $106$. We see that $9 \times 11 = 99$ is the nearest. Now subtract $99$ from $106$ to get reminder $7$. Add $9$ to quotient.

$$\begin{array}{l}\phantom{11)}0889\phantom{8}\\11\overline{)978626}\\\phantom{11)}\underline{\phantom{}88\phantom{9999}}\\\phantom{11)9}98\\\phantom{11)}\underline{\phantom{9}88\phantom{999}}\\\phantom{11)9}106\\\phantom{11)}\underline{\phantom{99}99\phantom{99}}\\\phantom{11)999}7\\\end{array}$$

Use the $5^{th}$ digit $2$ from dividend $978626$

$$\begin{array}{l}\phantom{11)}0889\phantom{9}\\11\overline{)978626}\\\phantom{11)}\underline{\phantom{}88\phantom{9999}}\\\phantom{11)9}98\\\phantom{11)}\underline{\phantom{9}88\phantom{999}}\\\phantom{11)9}106\\\phantom{11)}\underline{\phantom{99}99\phantom{99}}\\\phantom{11)999}72\\\end{array}$$

Find closest multiple of $11$ to $72$. We see that $6 \times 11 = 66$ is the nearest. Now subtract $66$ from $72$ to get reminder $6$. Add $6$ to quotient.

$$\begin{array}{l}\phantom{11)}08896\phantom{10}\\11\overline{)978626}\\\phantom{11)}\underline{\phantom{}88\phantom{9999}}\\\phantom{11)9}98\\\phantom{11)}\underline{\phantom{9}88\phantom{999}}\\\phantom{11)9}106\\\phantom{11)}\underline{\phantom{99}99\phantom{99}}\\\phantom{11)999}72\\\phantom{11)}\underline{\phantom{999}66\phantom{9}}\\\phantom{11)9999}6\\\end{array}$$

Use the $6^{th}$ digit $6$ from dividend $978626$

$$\begin{array}{l}\phantom{11)}08896\phantom{11}\\11\overline{)978626}\\\phantom{11)}\underline{\phantom{}88\phantom{9999}}\\\phantom{11)9}98\\\phantom{11)}\underline{\phantom{9}88\phantom{999}}\\\phantom{11)9}106\\\phantom{11)}\underline{\phantom{99}99\phantom{99}}\\\phantom{11)999}72\\\phantom{11)}\underline{\phantom{999}66\phantom{9}}\\\phantom{11)9999}66\\\end{array}$$

Find closest multiple of $11$ to $66$. We see that $6 \times 11 = 66$ is the nearest. Now subtract $66$ from $66$ to get reminder $0$. Add $6$ to quotient.

$$\begin{array}{l}\phantom{11)}088966\phantom{12}\\11\overline{)978626}\\\phantom{11)}\underline{\phantom{}88\phantom{9999}}\\\phantom{11)9}98\\\phantom{11)}\underline{\phantom{9}88\phantom{999}}\\\phantom{11)9}106\\\phantom{11)}\underline{\phantom{99}99\phantom{99}}\\\phantom{11)999}72\\\phantom{11)}\underline{\phantom{999}66\phantom{9}}\\\phantom{11)9999}66\\\phantom{11)}\underline{\phantom{9999}66\phantom{}}\\\phantom{11)999999}0\\\end{array}$$

Since $0$ is less than $11$, stop the division. The reminder is $0$. The topmost line $088966$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $88966$.

$$\text{Quotient: }88966$$ $$\text{Reminder: }0$$

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