Solve googlelongdiv 77 55756 | Equatix - Math Solver

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Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$\googlelongdiv{77}{55756}$$

Evaluate

$\frac{55756}{77}\approx 724.103896104$

Steps For Long Division Method

Use the $1^{st}$ digit $5$ from dividend $55756$

$$\begin{array}{l}\phantom{77)}\phantom{1}\\77\overline{)55756}\\\end{array}$$

Since $5$ is less than $77$, use the next digit $5$ from dividend $55756$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{77)}0\phantom{2}\\77\overline{)55756}\\\end{array}$$

Use the $2^{nd}$ digit $5$ from dividend $55756$

$$\begin{array}{l}\phantom{77)}0\phantom{3}\\77\overline{)55756}\\\end{array}$$

Since $55$ is less than $77$, use the next digit $7$ from dividend $55756$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{77)}00\phantom{4}\\77\overline{)55756}\\\end{array}$$

Use the $3^{rd}$ digit $7$ from dividend $55756$

$$\begin{array}{l}\phantom{77)}00\phantom{5}\\77\overline{)55756}\\\end{array}$$

Find closest multiple of $77$ to $557$. We see that $7 \times 77 = 539$ is the nearest. Now subtract $539$ from $557$ to get reminder $18$. Add $7$ to quotient.

$$\begin{array}{l}\phantom{77)}007\phantom{6}\\77\overline{)55756}\\\phantom{77)}\underline{\phantom{}539\phantom{99}}\\\phantom{77)9}18\\\end{array}$$

Use the $4^{th}$ digit $5$ from dividend $55756$

$$\begin{array}{l}\phantom{77)}007\phantom{7}\\77\overline{)55756}\\\phantom{77)}\underline{\phantom{}539\phantom{99}}\\\phantom{77)9}185\\\end{array}$$

Find closest multiple of $77$ to $185$. We see that $2 \times 77 = 154$ is the nearest. Now subtract $154$ from $185$ to get reminder $31$. Add $2$ to quotient.

$$\begin{array}{l}\phantom{77)}0072\phantom{8}\\77\overline{)55756}\\\phantom{77)}\underline{\phantom{}539\phantom{99}}\\\phantom{77)9}185\\\phantom{77)}\underline{\phantom{9}154\phantom{9}}\\\phantom{77)99}31\\\end{array}$$

Use the $5^{th}$ digit $6$ from dividend $55756$

$$\begin{array}{l}\phantom{77)}0072\phantom{9}\\77\overline{)55756}\\\phantom{77)}\underline{\phantom{}539\phantom{99}}\\\phantom{77)9}185\\\phantom{77)}\underline{\phantom{9}154\phantom{9}}\\\phantom{77)99}316\\\end{array}$$

Find closest multiple of $77$ to $316$. We see that $4 \times 77 = 308$ is the nearest. Now subtract $308$ from $316$ to get reminder $8$. Add $4$ to quotient.

$$\begin{array}{l}\phantom{77)}00724\phantom{10}\\77\overline{)55756}\\\phantom{77)}\underline{\phantom{}539\phantom{99}}\\\phantom{77)9}185\\\phantom{77)}\underline{\phantom{9}154\phantom{9}}\\\phantom{77)99}316\\\phantom{77)}\underline{\phantom{99}308\phantom{}}\\\phantom{77)9999}8\\\end{array}$$

Since $8$ is less than $77$, stop the division. The reminder is $8$. The topmost line $00724$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $724$.

$$\text{Quotient: }724$$ $$\text{Reminder: }8$$

Factor

$\frac{2 ^ {2} \cdot 53 \cdot 263}{7 \cdot 11} = 724\frac{8}{77} = 724.1038961038961$