Solve 476620\div84 | Equatix

Question

$$476620 \div 84$$

Evaluate

$\frac{119155}{21}\approx 5674.047619048$

Steps For Long Division Method

Use the $1^{st}$ digit $4$ from dividend $476620$

$$\begin{array}{l}\phantom{84)}\phantom{1}\\84\overline{)476620}\\\end{array}$$

Since $4$ is less than $84$, use the next digit $7$ from dividend $476620$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{84)}0\phantom{2}\\84\overline{)476620}\\\end{array}$$

Use the $2^{nd}$ digit $7$ from dividend $476620$

$$\begin{array}{l}\phantom{84)}0\phantom{3}\\84\overline{)476620}\\\end{array}$$

Since $47$ is less than $84$, use the next digit $6$ from dividend $476620$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{84)}00\phantom{4}\\84\overline{)476620}\\\end{array}$$

Use the $3^{rd}$ digit $6$ from dividend $476620$

$$\begin{array}{l}\phantom{84)}00\phantom{5}\\84\overline{)476620}\\\end{array}$$

Find closest multiple of $84$ to $476$. We see that $5 \times 84 = 420$ is the nearest. Now subtract $420$ from $476$ to get reminder $56$. Add $5$ to quotient.

$$\begin{array}{l}\phantom{84)}005\phantom{6}\\84\overline{)476620}\\\phantom{84)}\underline{\phantom{}420\phantom{999}}\\\phantom{84)9}56\\\end{array}$$

Use the $4^{th}$ digit $6$ from dividend $476620$

$$\begin{array}{l}\phantom{84)}005\phantom{7}\\84\overline{)476620}\\\phantom{84)}\underline{\phantom{}420\phantom{999}}\\\phantom{84)9}566\\\end{array}$$

Find closest multiple of $84$ to $566$. We see that $6 \times 84 = 504$ is the nearest. Now subtract $504$ from $566$ to get reminder $62$. Add $6$ to quotient.

$$\begin{array}{l}\phantom{84)}0056\phantom{8}\\84\overline{)476620}\\\phantom{84)}\underline{\phantom{}420\phantom{999}}\\\phantom{84)9}566\\\phantom{84)}\underline{\phantom{9}504\phantom{99}}\\\phantom{84)99}62\\\end{array}$$

Use the $5^{th}$ digit $2$ from dividend $476620$

$$\begin{array}{l}\phantom{84)}0056\phantom{9}\\84\overline{)476620}\\\phantom{84)}\underline{\phantom{}420\phantom{999}}\\\phantom{84)9}566\\\phantom{84)}\underline{\phantom{9}504\phantom{99}}\\\phantom{84)99}622\\\end{array}$$

Find closest multiple of $84$ to $622$. We see that $7 \times 84 = 588$ is the nearest. Now subtract $588$ from $622$ to get reminder $34$. Add $7$ to quotient.

$$\begin{array}{l}\phantom{84)}00567\phantom{10}\\84\overline{)476620}\\\phantom{84)}\underline{\phantom{}420\phantom{999}}\\\phantom{84)9}566\\\phantom{84)}\underline{\phantom{9}504\phantom{99}}\\\phantom{84)99}622\\\phantom{84)}\underline{\phantom{99}588\phantom{9}}\\\phantom{84)999}34\\\end{array}$$

Use the $6^{th}$ digit $0$ from dividend $476620$

$$\begin{array}{l}\phantom{84)}00567\phantom{11}\\84\overline{)476620}\\\phantom{84)}\underline{\phantom{}420\phantom{999}}\\\phantom{84)9}566\\\phantom{84)}\underline{\phantom{9}504\phantom{99}}\\\phantom{84)99}622\\\phantom{84)}\underline{\phantom{99}588\phantom{9}}\\\phantom{84)999}340\\\end{array}$$

Find closest multiple of $84$ to $340$. We see that $4 \times 84 = 336$ is the nearest. Now subtract $336$ from $340$ to get reminder $4$. Add $4$ to quotient.

$$\begin{array}{l}\phantom{84)}005674\phantom{12}\\84\overline{)476620}\\\phantom{84)}\underline{\phantom{}420\phantom{999}}\\\phantom{84)9}566\\\phantom{84)}\underline{\phantom{9}504\phantom{99}}\\\phantom{84)99}622\\\phantom{84)}\underline{\phantom{99}588\phantom{9}}\\\phantom{84)999}340\\\phantom{84)}\underline{\phantom{999}336\phantom{}}\\\phantom{84)99999}4\\\end{array}$$

Since $4$ is less than $84$, stop the division. The reminder is $4$. The topmost line $005674$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $5674$.

$$\text{Quotient: }5674$$ $$\text{Reminder: }4$$

Show Solution

Factor

$\frac{5 \cdot 23831}{3 \cdot 7} = 5674\frac{1}{21} = 5674.047619047619$

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Steps For Long Division Method

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