How to solve 9683438/28

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 9683438/28 | Equatix

Use the $1^{st}$ digit $9$ from dividend $9683438$

$$\begin{array}{l}\phantom{28)}\phantom{1}\\28\overline{)9683438}\\\end{array}$$

Since $9$ is less than $28$, use the next digit $6$ from dividend $9683438$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{28)}0\phantom{2}\\28\overline{)9683438}\\\end{array}$$

Use the $2^{nd}$ digit $6$ from dividend $9683438$

$$\begin{array}{l}\phantom{28)}0\phantom{3}\\28\overline{)9683438}\\\end{array}$$

Find closest multiple of $28$ to $96$. We see that $3 \times 28 = 84$ is the nearest. Now subtract $84$ from $96$ to get reminder $12$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{28)}03\phantom{4}\\28\overline{)9683438}\\\phantom{28)}\underline{\phantom{}84\phantom{99999}}\\\phantom{28)}12\\\end{array}$$

Use the $3^{rd}$ digit $8$ from dividend $9683438$

$$\begin{array}{l}\phantom{28)}03\phantom{5}\\28\overline{)9683438}\\\phantom{28)}\underline{\phantom{}84\phantom{99999}}\\\phantom{28)}128\\\end{array}$$

Find closest multiple of $28$ to $128$. We see that $4 \times 28 = 112$ is the nearest. Now subtract $112$ from $128$ to get reminder $16$. Add $4$ to quotient.

$$\begin{array}{l}\phantom{28)}034\phantom{6}\\28\overline{)9683438}\\\phantom{28)}\underline{\phantom{}84\phantom{99999}}\\\phantom{28)}128\\\phantom{28)}\underline{\phantom{}112\phantom{9999}}\\\phantom{28)9}16\\\end{array}$$

Use the $4^{th}$ digit $3$ from dividend $9683438$

$$\begin{array}{l}\phantom{28)}034\phantom{7}\\28\overline{)9683438}\\\phantom{28)}\underline{\phantom{}84\phantom{99999}}\\\phantom{28)}128\\\phantom{28)}\underline{\phantom{}112\phantom{9999}}\\\phantom{28)9}163\\\end{array}$$

Find closest multiple of $28$ to $163$. We see that $5 \times 28 = 140$ is the nearest. Now subtract $140$ from $163$ to get reminder $23$. Add $5$ to quotient.

$$\begin{array}{l}\phantom{28)}0345\phantom{8}\\28\overline{)9683438}\\\phantom{28)}\underline{\phantom{}84\phantom{99999}}\\\phantom{28)}128\\\phantom{28)}\underline{\phantom{}112\phantom{9999}}\\\phantom{28)9}163\\\phantom{28)}\underline{\phantom{9}140\phantom{999}}\\\phantom{28)99}23\\\end{array}$$

Use the $5^{th}$ digit $4$ from dividend $9683438$

$$\begin{array}{l}\phantom{28)}0345\phantom{9}\\28\overline{)9683438}\\\phantom{28)}\underline{\phantom{}84\phantom{99999}}\\\phantom{28)}128\\\phantom{28)}\underline{\phantom{}112\phantom{9999}}\\\phantom{28)9}163\\\phantom{28)}\underline{\phantom{9}140\phantom{999}}\\\phantom{28)99}234\\\end{array}$$

Find closest multiple of $28$ to $234$. We see that $8 \times 28 = 224$ is the nearest. Now subtract $224$ from $234$ to get reminder $10$. Add $8$ to quotient.

$$\begin{array}{l}\phantom{28)}03458\phantom{10}\\28\overline{)9683438}\\\phantom{28)}\underline{\phantom{}84\phantom{99999}}\\\phantom{28)}128\\\phantom{28)}\underline{\phantom{}112\phantom{9999}}\\\phantom{28)9}163\\\phantom{28)}\underline{\phantom{9}140\phantom{999}}\\\phantom{28)99}234\\\phantom{28)}\underline{\phantom{99}224\phantom{99}}\\\phantom{28)999}10\\\end{array}$$

Use the $6^{th}$ digit $3$ from dividend $9683438$

$$\begin{array}{l}\phantom{28)}03458\phantom{11}\\28\overline{)9683438}\\\phantom{28)}\underline{\phantom{}84\phantom{99999}}\\\phantom{28)}128\\\phantom{28)}\underline{\phantom{}112\phantom{9999}}\\\phantom{28)9}163\\\phantom{28)}\underline{\phantom{9}140\phantom{999}}\\\phantom{28)99}234\\\phantom{28)}\underline{\phantom{99}224\phantom{99}}\\\phantom{28)999}103\\\end{array}$$

Find closest multiple of $28$ to $103$. We see that $3 \times 28 = 84$ is the nearest. Now subtract $84$ from $103$ to get reminder $19$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{28)}034583\phantom{12}\\28\overline{)9683438}\\\phantom{28)}\underline{\phantom{}84\phantom{99999}}\\\phantom{28)}128\\\phantom{28)}\underline{\phantom{}112\phantom{9999}}\\\phantom{28)9}163\\\phantom{28)}\underline{\phantom{9}140\phantom{999}}\\\phantom{28)99}234\\\phantom{28)}\underline{\phantom{99}224\phantom{99}}\\\phantom{28)999}103\\\phantom{28)}\underline{\phantom{9999}84\phantom{9}}\\\phantom{28)9999}19\\\end{array}$$

Use the $7^{th}$ digit $8$ from dividend $9683438$

$$\begin{array}{l}\phantom{28)}034583\phantom{13}\\28\overline{)9683438}\\\phantom{28)}\underline{\phantom{}84\phantom{99999}}\\\phantom{28)}128\\\phantom{28)}\underline{\phantom{}112\phantom{9999}}\\\phantom{28)9}163\\\phantom{28)}\underline{\phantom{9}140\phantom{999}}\\\phantom{28)99}234\\\phantom{28)}\underline{\phantom{99}224\phantom{99}}\\\phantom{28)999}103\\\phantom{28)}\underline{\phantom{9999}84\phantom{9}}\\\phantom{28)9999}198\\\end{array}$$

Find closest multiple of $28$ to $198$. We see that $7 \times 28 = 196$ is the nearest. Now subtract $196$ from $198$ to get reminder $2$. Add $7$ to quotient.

$$\begin{array}{l}\phantom{28)}0345837\phantom{14}\\28\overline{)9683438}\\\phantom{28)}\underline{\phantom{}84\phantom{99999}}\\\phantom{28)}128\\\phantom{28)}\underline{\phantom{}112\phantom{9999}}\\\phantom{28)9}163\\\phantom{28)}\underline{\phantom{9}140\phantom{999}}\\\phantom{28)99}234\\\phantom{28)}\underline{\phantom{99}224\phantom{99}}\\\phantom{28)999}103\\\phantom{28)}\underline{\phantom{9999}84\phantom{9}}\\\phantom{28)9999}198\\\phantom{28)}\underline{\phantom{9999}196\phantom{}}\\\phantom{28)999999}2\\\end{array}$$

Since $2$ is less than $28$, stop the division. The reminder is $2$. The topmost line $0345837$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $345837$.

$$\text{Quotient: }345837$$ $$\text{Reminder: }2$$

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