How to solve 732954/125

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 732954/125 | Equatix

Use the $1^{st}$ digit $7$ from dividend $732954$

$$\begin{array}{l}\phantom{125)}\phantom{1}\\125\overline{)732954}\\\end{array}$$

Since $7$ is less than $125$, use the next digit $3$ from dividend $732954$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{125)}0\phantom{2}\\125\overline{)732954}\\\end{array}$$

Use the $2^{nd}$ digit $3$ from dividend $732954$

$$\begin{array}{l}\phantom{125)}0\phantom{3}\\125\overline{)732954}\\\end{array}$$

Since $73$ is less than $125$, use the next digit $2$ from dividend $732954$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{125)}00\phantom{4}\\125\overline{)732954}\\\end{array}$$

Use the $3^{rd}$ digit $2$ from dividend $732954$

$$\begin{array}{l}\phantom{125)}00\phantom{5}\\125\overline{)732954}\\\end{array}$$

Find closest multiple of $125$ to $732$. We see that $5 \times 125 = 625$ is the nearest. Now subtract $625$ from $732$ to get reminder $107$. Add $5$ to quotient.

$$\begin{array}{l}\phantom{125)}005\phantom{6}\\125\overline{)732954}\\\phantom{125)}\underline{\phantom{}625\phantom{999}}\\\phantom{125)}107\\\end{array}$$

Use the $4^{th}$ digit $9$ from dividend $732954$

$$\begin{array}{l}\phantom{125)}005\phantom{7}\\125\overline{)732954}\\\phantom{125)}\underline{\phantom{}625\phantom{999}}\\\phantom{125)}1079\\\end{array}$$

Find closest multiple of $125$ to $1079$. We see that $8 \times 125 = 1000$ is the nearest. Now subtract $1000$ from $1079$ to get reminder $79$. Add $8$ to quotient.

$$\begin{array}{l}\phantom{125)}0058\phantom{8}\\125\overline{)732954}\\\phantom{125)}\underline{\phantom{}625\phantom{999}}\\\phantom{125)}1079\\\phantom{125)}\underline{\phantom{}1000\phantom{99}}\\\phantom{125)99}79\\\end{array}$$

Use the $5^{th}$ digit $5$ from dividend $732954$

$$\begin{array}{l}\phantom{125)}0058\phantom{9}\\125\overline{)732954}\\\phantom{125)}\underline{\phantom{}625\phantom{999}}\\\phantom{125)}1079\\\phantom{125)}\underline{\phantom{}1000\phantom{99}}\\\phantom{125)99}795\\\end{array}$$

Find closest multiple of $125$ to $795$. We see that $6 \times 125 = 750$ is the nearest. Now subtract $750$ from $795$ to get reminder $45$. Add $6$ to quotient.

$$\begin{array}{l}\phantom{125)}00586\phantom{10}\\125\overline{)732954}\\\phantom{125)}\underline{\phantom{}625\phantom{999}}\\\phantom{125)}1079\\\phantom{125)}\underline{\phantom{}1000\phantom{99}}\\\phantom{125)99}795\\\phantom{125)}\underline{\phantom{99}750\phantom{9}}\\\phantom{125)999}45\\\end{array}$$

Use the $6^{th}$ digit $4$ from dividend $732954$

$$\begin{array}{l}\phantom{125)}00586\phantom{11}\\125\overline{)732954}\\\phantom{125)}\underline{\phantom{}625\phantom{999}}\\\phantom{125)}1079\\\phantom{125)}\underline{\phantom{}1000\phantom{99}}\\\phantom{125)99}795\\\phantom{125)}\underline{\phantom{99}750\phantom{9}}\\\phantom{125)999}454\\\end{array}$$

Find closest multiple of $125$ to $454$. We see that $3 \times 125 = 375$ is the nearest. Now subtract $375$ from $454$ to get reminder $79$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{125)}005863\phantom{12}\\125\overline{)732954}\\\phantom{125)}\underline{\phantom{}625\phantom{999}}\\\phantom{125)}1079\\\phantom{125)}\underline{\phantom{}1000\phantom{99}}\\\phantom{125)99}795\\\phantom{125)}\underline{\phantom{99}750\phantom{9}}\\\phantom{125)999}454\\\phantom{125)}\underline{\phantom{999}375\phantom{}}\\\phantom{125)9999}79\\\end{array}$$

Since $79$ is less than $125$, stop the division. The reminder is $79$. The topmost line $005863$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $5863$.

$$\text{Quotient: }5863$$ $$\text{Reminder: }79$$

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