How to solve 97475/35

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 97475/35 | Equatix

Use the $1^{st}$ digit $9$ from dividend $97475$

$$\begin{array}{l}\phantom{35)}\phantom{1}\\35\overline{)97475}\\\end{array}$$

Since $9$ is less than $35$, use the next digit $7$ from dividend $97475$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{35)}0\phantom{2}\\35\overline{)97475}\\\end{array}$$

Use the $2^{nd}$ digit $7$ from dividend $97475$

$$\begin{array}{l}\phantom{35)}0\phantom{3}\\35\overline{)97475}\\\end{array}$$

Find closest multiple of $35$ to $97$. We see that $2 \times 35 = 70$ is the nearest. Now subtract $70$ from $97$ to get reminder $27$. Add $2$ to quotient.

$$\begin{array}{l}\phantom{35)}02\phantom{4}\\35\overline{)97475}\\\phantom{35)}\underline{\phantom{}70\phantom{999}}\\\phantom{35)}27\\\end{array}$$

Use the $3^{rd}$ digit $4$ from dividend $97475$

$$\begin{array}{l}\phantom{35)}02\phantom{5}\\35\overline{)97475}\\\phantom{35)}\underline{\phantom{}70\phantom{999}}\\\phantom{35)}274\\\end{array}$$

Find closest multiple of $35$ to $274$. We see that $7 \times 35 = 245$ is the nearest. Now subtract $245$ from $274$ to get reminder $29$. Add $7$ to quotient.

$$\begin{array}{l}\phantom{35)}027\phantom{6}\\35\overline{)97475}\\\phantom{35)}\underline{\phantom{}70\phantom{999}}\\\phantom{35)}274\\\phantom{35)}\underline{\phantom{}245\phantom{99}}\\\phantom{35)9}29\\\end{array}$$

Use the $4^{th}$ digit $7$ from dividend $97475$

$$\begin{array}{l}\phantom{35)}027\phantom{7}\\35\overline{)97475}\\\phantom{35)}\underline{\phantom{}70\phantom{999}}\\\phantom{35)}274\\\phantom{35)}\underline{\phantom{}245\phantom{99}}\\\phantom{35)9}297\\\end{array}$$

Find closest multiple of $35$ to $297$. We see that $8 \times 35 = 280$ is the nearest. Now subtract $280$ from $297$ to get reminder $17$. Add $8$ to quotient.

$$\begin{array}{l}\phantom{35)}0278\phantom{8}\\35\overline{)97475}\\\phantom{35)}\underline{\phantom{}70\phantom{999}}\\\phantom{35)}274\\\phantom{35)}\underline{\phantom{}245\phantom{99}}\\\phantom{35)9}297\\\phantom{35)}\underline{\phantom{9}280\phantom{9}}\\\phantom{35)99}17\\\end{array}$$

Use the $5^{th}$ digit $5$ from dividend $97475$

$$\begin{array}{l}\phantom{35)}0278\phantom{9}\\35\overline{)97475}\\\phantom{35)}\underline{\phantom{}70\phantom{999}}\\\phantom{35)}274\\\phantom{35)}\underline{\phantom{}245\phantom{99}}\\\phantom{35)9}297\\\phantom{35)}\underline{\phantom{9}280\phantom{9}}\\\phantom{35)99}175\\\end{array}$$

Find closest multiple of $35$ to $175$. We see that $5 \times 35 = 175$ is the nearest. Now subtract $175$ from $175$ to get reminder $0$. Add $5$ to quotient.

$$\begin{array}{l}\phantom{35)}02785\phantom{10}\\35\overline{)97475}\\\phantom{35)}\underline{\phantom{}70\phantom{999}}\\\phantom{35)}274\\\phantom{35)}\underline{\phantom{}245\phantom{99}}\\\phantom{35)9}297\\\phantom{35)}\underline{\phantom{9}280\phantom{9}}\\\phantom{35)99}175\\\phantom{35)}\underline{\phantom{99}175\phantom{}}\\\phantom{35)99999}0\\\end{array}$$

Since $0$ is less than $35$, stop the division. The reminder is $0$. The topmost line $02785$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $2785$.

$$\text{Quotient: }2785$$ $$\text{Reminder: }0$$

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