How to solve 76625/125

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 76625/125 | Equatix

Use the $1^{st}$ digit $7$ from dividend $76625$

$$\begin{array}{l}\phantom{125)}\phantom{1}\\125\overline{)76625}\\\end{array}$$

Since $7$ is less than $125$, use the next digit $6$ from dividend $76625$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{125)}0\phantom{2}\\125\overline{)76625}\\\end{array}$$

Use the $2^{nd}$ digit $6$ from dividend $76625$

$$\begin{array}{l}\phantom{125)}0\phantom{3}\\125\overline{)76625}\\\end{array}$$

Since $76$ is less than $125$, use the next digit $6$ from dividend $76625$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{125)}00\phantom{4}\\125\overline{)76625}\\\end{array}$$

Use the $3^{rd}$ digit $6$ from dividend $76625$

$$\begin{array}{l}\phantom{125)}00\phantom{5}\\125\overline{)76625}\\\end{array}$$

Find closest multiple of $125$ to $766$. We see that $6 \times 125 = 750$ is the nearest. Now subtract $750$ from $766$ to get reminder $16$. Add $6$ to quotient.

$$\begin{array}{l}\phantom{125)}006\phantom{6}\\125\overline{)76625}\\\phantom{125)}\underline{\phantom{}750\phantom{99}}\\\phantom{125)9}16\\\end{array}$$

Use the $4^{th}$ digit $2$ from dividend $76625$

$$\begin{array}{l}\phantom{125)}006\phantom{7}\\125\overline{)76625}\\\phantom{125)}\underline{\phantom{}750\phantom{99}}\\\phantom{125)9}162\\\end{array}$$

Find closest multiple of $125$ to $162$. We see that $1 \times 125 = 125$ is the nearest. Now subtract $125$ from $162$ to get reminder $37$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{125)}0061\phantom{8}\\125\overline{)76625}\\\phantom{125)}\underline{\phantom{}750\phantom{99}}\\\phantom{125)9}162\\\phantom{125)}\underline{\phantom{9}125\phantom{9}}\\\phantom{125)99}37\\\end{array}$$

Use the $5^{th}$ digit $5$ from dividend $76625$

$$\begin{array}{l}\phantom{125)}0061\phantom{9}\\125\overline{)76625}\\\phantom{125)}\underline{\phantom{}750\phantom{99}}\\\phantom{125)9}162\\\phantom{125)}\underline{\phantom{9}125\phantom{9}}\\\phantom{125)99}375\\\end{array}$$

Find closest multiple of $125$ to $375$. We see that $3 \times 125 = 375$ is the nearest. Now subtract $375$ from $375$ to get reminder $0$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{125)}00613\phantom{10}\\125\overline{)76625}\\\phantom{125)}\underline{\phantom{}750\phantom{99}}\\\phantom{125)9}162\\\phantom{125)}\underline{\phantom{9}125\phantom{9}}\\\phantom{125)99}375\\\phantom{125)}\underline{\phantom{99}375\phantom{}}\\\phantom{125)99999}0\\\end{array}$$

Since $0$ is less than $125$, stop the division. The reminder is $0$. The topmost line $00613$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $613$.

$$\text{Quotient: }613$$ $$\text{Reminder: }0$$

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