How to solve 875648/35

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 875648/35 | Equatix

Use the $1^{st}$ digit $8$ from dividend $875648$

$$\begin{array}{l}\phantom{35)}\phantom{1}\\35\overline{)875648}\\\end{array}$$

Since $8$ is less than $35$, use the next digit $7$ from dividend $875648$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{35)}0\phantom{2}\\35\overline{)875648}\\\end{array}$$

Use the $2^{nd}$ digit $7$ from dividend $875648$

$$\begin{array}{l}\phantom{35)}0\phantom{3}\\35\overline{)875648}\\\end{array}$$

Find closest multiple of $35$ to $87$. We see that $2 \times 35 = 70$ is the nearest. Now subtract $70$ from $87$ to get reminder $17$. Add $2$ to quotient.

$$\begin{array}{l}\phantom{35)}02\phantom{4}\\35\overline{)875648}\\\phantom{35)}\underline{\phantom{}70\phantom{9999}}\\\phantom{35)}17\\\end{array}$$

Use the $3^{rd}$ digit $5$ from dividend $875648$

$$\begin{array}{l}\phantom{35)}02\phantom{5}\\35\overline{)875648}\\\phantom{35)}\underline{\phantom{}70\phantom{9999}}\\\phantom{35)}175\\\end{array}$$

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.

$$\begin{array}{l}\phantom{35)}025\phantom{6}\\35\overline{)875648}\\\phantom{35)}\underline{\phantom{}70\phantom{9999}}\\\phantom{35)}175\\\phantom{35)}\underline{\phantom{}175\phantom{999}}\\\phantom{35)999}0\\\end{array}$$

Use the $4^{th}$ digit $6$ from dividend $875648$

$$\begin{array}{l}\phantom{35)}025\phantom{7}\\35\overline{)875648}\\\phantom{35)}\underline{\phantom{}70\phantom{9999}}\\\phantom{35)}175\\\phantom{35)}\underline{\phantom{}175\phantom{999}}\\\phantom{35)999}6\\\end{array}$$

Since $6$ is less than $35$, use the next digit $4$ from dividend $875648$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{35)}0250\phantom{8}\\35\overline{)875648}\\\phantom{35)}\underline{\phantom{}70\phantom{9999}}\\\phantom{35)}175\\\phantom{35)}\underline{\phantom{}175\phantom{999}}\\\phantom{35)999}6\\\end{array}$$

Use the $5^{th}$ digit $4$ from dividend $875648$

$$\begin{array}{l}\phantom{35)}0250\phantom{9}\\35\overline{)875648}\\\phantom{35)}\underline{\phantom{}70\phantom{9999}}\\\phantom{35)}175\\\phantom{35)}\underline{\phantom{}175\phantom{999}}\\\phantom{35)999}64\\\end{array}$$

Find closest multiple of $35$ to $64$. We see that $1 \times 35 = 35$ is the nearest. Now subtract $35$ from $64$ to get reminder $29$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{35)}02501\phantom{10}\\35\overline{)875648}\\\phantom{35)}\underline{\phantom{}70\phantom{9999}}\\\phantom{35)}175\\\phantom{35)}\underline{\phantom{}175\phantom{999}}\\\phantom{35)999}64\\\phantom{35)}\underline{\phantom{999}35\phantom{9}}\\\phantom{35)999}29\\\end{array}$$

Use the $6^{th}$ digit $8$ from dividend $875648$

$$\begin{array}{l}\phantom{35)}02501\phantom{11}\\35\overline{)875648}\\\phantom{35)}\underline{\phantom{}70\phantom{9999}}\\\phantom{35)}175\\\phantom{35)}\underline{\phantom{}175\phantom{999}}\\\phantom{35)999}64\\\phantom{35)}\underline{\phantom{999}35\phantom{9}}\\\phantom{35)999}298\\\end{array}$$

Find closest multiple of $35$ to $298$. We see that $8 \times 35 = 280$ is the nearest. Now subtract $280$ from $298$ to get reminder $18$. Add $8$ to quotient.

$$\begin{array}{l}\phantom{35)}025018\phantom{12}\\35\overline{)875648}\\\phantom{35)}\underline{\phantom{}70\phantom{9999}}\\\phantom{35)}175\\\phantom{35)}\underline{\phantom{}175\phantom{999}}\\\phantom{35)999}64\\\phantom{35)}\underline{\phantom{999}35\phantom{9}}\\\phantom{35)999}298\\\phantom{35)}\underline{\phantom{999}280\phantom{}}\\\phantom{35)9999}18\\\end{array}$$

Since $18$ is less than $35$, stop the division. The reminder is $18$. The topmost line $025018$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $25018$.

$$\text{Quotient: }25018$$ $$\text{Reminder: }18$$

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