How to solve 35456500/7158

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 35456500/7158 | Equatix

Use the $1^{st}$ digit $3$ from dividend $35456500$

$$\begin{array}{l}\phantom{7158)}\phantom{1}\\7158\overline{)35456500}\\\end{array}$$

Since $3$ is less than $7158$, use the next digit $5$ from dividend $35456500$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{7158)}0\phantom{2}\\7158\overline{)35456500}\\\end{array}$$

Use the $2^{nd}$ digit $5$ from dividend $35456500$

$$\begin{array}{l}\phantom{7158)}0\phantom{3}\\7158\overline{)35456500}\\\end{array}$$

Since $35$ is less than $7158$, use the next digit $4$ from dividend $35456500$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{7158)}00\phantom{4}\\7158\overline{)35456500}\\\end{array}$$

Use the $3^{rd}$ digit $4$ from dividend $35456500$

$$\begin{array}{l}\phantom{7158)}00\phantom{5}\\7158\overline{)35456500}\\\end{array}$$

Since $354$ is less than $7158$, use the next digit $5$ from dividend $35456500$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{7158)}000\phantom{6}\\7158\overline{)35456500}\\\end{array}$$

Use the $4^{th}$ digit $5$ from dividend $35456500$

$$\begin{array}{l}\phantom{7158)}000\phantom{7}\\7158\overline{)35456500}\\\end{array}$$

Since $3545$ is less than $7158$, use the next digit $6$ from dividend $35456500$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{7158)}0000\phantom{8}\\7158\overline{)35456500}\\\end{array}$$

Use the $5^{th}$ digit $6$ from dividend $35456500$

$$\begin{array}{l}\phantom{7158)}0000\phantom{9}\\7158\overline{)35456500}\\\end{array}$$

Find closest multiple of $7158$ to $35456$. We see that $4 \times 7158 = 28632$ is the nearest. Now subtract $28632$ from $35456$ to get reminder $6824$. Add $4$ to quotient.

$$\begin{array}{l}\phantom{7158)}00004\phantom{10}\\7158\overline{)35456500}\\\phantom{7158)}\underline{\phantom{}28632\phantom{999}}\\\phantom{7158)9}6824\\\end{array}$$

Use the $6^{th}$ digit $5$ from dividend $35456500$

$$\begin{array}{l}\phantom{7158)}00004\phantom{11}\\7158\overline{)35456500}\\\phantom{7158)}\underline{\phantom{}28632\phantom{999}}\\\phantom{7158)9}68245\\\end{array}$$

Find closest multiple of $7158$ to $68245$. We see that $9 \times 7158 = 64422$ is the nearest. Now subtract $64422$ from $68245$ to get reminder $3823$. Add $9$ to quotient.

$$\begin{array}{l}\phantom{7158)}000049\phantom{12}\\7158\overline{)35456500}\\\phantom{7158)}\underline{\phantom{}28632\phantom{999}}\\\phantom{7158)9}68245\\\phantom{7158)}\underline{\phantom{9}64422\phantom{99}}\\\phantom{7158)99}3823\\\end{array}$$

Use the $7^{th}$ digit $0$ from dividend $35456500$

$$\begin{array}{l}\phantom{7158)}000049\phantom{13}\\7158\overline{)35456500}\\\phantom{7158)}\underline{\phantom{}28632\phantom{999}}\\\phantom{7158)9}68245\\\phantom{7158)}\underline{\phantom{9}64422\phantom{99}}\\\phantom{7158)99}38230\\\end{array}$$

Find closest multiple of $7158$ to $38230$. We see that $5 \times 7158 = 35790$ is the nearest. Now subtract $35790$ from $38230$ to get reminder $2440$. Add $5$ to quotient.

$$\begin{array}{l}\phantom{7158)}0000495\phantom{14}\\7158\overline{)35456500}\\\phantom{7158)}\underline{\phantom{}28632\phantom{999}}\\\phantom{7158)9}68245\\\phantom{7158)}\underline{\phantom{9}64422\phantom{99}}\\\phantom{7158)99}38230\\\phantom{7158)}\underline{\phantom{99}35790\phantom{9}}\\\phantom{7158)999}2440\\\end{array}$$

Use the $8^{th}$ digit $0$ from dividend $35456500$

$$\begin{array}{l}\phantom{7158)}0000495\phantom{15}\\7158\overline{)35456500}\\\phantom{7158)}\underline{\phantom{}28632\phantom{999}}\\\phantom{7158)9}68245\\\phantom{7158)}\underline{\phantom{9}64422\phantom{99}}\\\phantom{7158)99}38230\\\phantom{7158)}\underline{\phantom{99}35790\phantom{9}}\\\phantom{7158)999}24400\\\end{array}$$

Find closest multiple of $7158$ to $24400$. We see that $3 \times 7158 = 21474$ is the nearest. Now subtract $21474$ from $24400$ to get reminder $2926$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{7158)}00004953\phantom{16}\\7158\overline{)35456500}\\\phantom{7158)}\underline{\phantom{}28632\phantom{999}}\\\phantom{7158)9}68245\\\phantom{7158)}\underline{\phantom{9}64422\phantom{99}}\\\phantom{7158)99}38230\\\phantom{7158)}\underline{\phantom{99}35790\phantom{9}}\\\phantom{7158)999}24400\\\phantom{7158)}\underline{\phantom{999}21474\phantom{}}\\\phantom{7158)9999}2926\\\end{array}$$

Since $2926$ is less than $7158$, stop the division. The reminder is $2926$. The topmost line $00004953$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $4953$.

$$\text{Quotient: }4953$$ $$\text{Reminder: }2926$$

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