Solve 38370\div60 | Equatix

Question

$$38370 \div 60$$

Evaluate

$\frac{1279}{2}=639.5$

Steps For Long Division Method

Use the $1^{st}$ digit $3$ from dividend $38370$

$$\begin{array}{l}\phantom{60)}\phantom{1}\\60\overline{)38370}\\\end{array}$$

Since $3$ is less than $60$, use the next digit $8$ from dividend $38370$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{60)}0\phantom{2}\\60\overline{)38370}\\\end{array}$$

Use the $2^{nd}$ digit $8$ from dividend $38370$

$$\begin{array}{l}\phantom{60)}0\phantom{3}\\60\overline{)38370}\\\end{array}$$

Since $38$ is less than $60$, use the next digit $3$ from dividend $38370$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{60)}00\phantom{4}\\60\overline{)38370}\\\end{array}$$

Use the $3^{rd}$ digit $3$ from dividend $38370$

$$\begin{array}{l}\phantom{60)}00\phantom{5}\\60\overline{)38370}\\\end{array}$$

Find closest multiple of $60$ to $383$. We see that $6 \times 60 = 360$ is the nearest. Now subtract $360$ from $383$ to get reminder $23$. Add $6$ to quotient.

$$\begin{array}{l}\phantom{60)}006\phantom{6}\\60\overline{)38370}\\\phantom{60)}\underline{\phantom{}360\phantom{99}}\\\phantom{60)9}23\\\end{array}$$

Use the $4^{th}$ digit $7$ from dividend $38370$

$$\begin{array}{l}\phantom{60)}006\phantom{7}\\60\overline{)38370}\\\phantom{60)}\underline{\phantom{}360\phantom{99}}\\\phantom{60)9}237\\\end{array}$$

Find closest multiple of $60$ to $237$. We see that $3 \times 60 = 180$ is the nearest. Now subtract $180$ from $237$ to get reminder $57$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{60)}0063\phantom{8}\\60\overline{)38370}\\\phantom{60)}\underline{\phantom{}360\phantom{99}}\\\phantom{60)9}237\\\phantom{60)}\underline{\phantom{9}180\phantom{9}}\\\phantom{60)99}57\\\end{array}$$

Use the $5^{th}$ digit $0$ from dividend $38370$

$$\begin{array}{l}\phantom{60)}0063\phantom{9}\\60\overline{)38370}\\\phantom{60)}\underline{\phantom{}360\phantom{99}}\\\phantom{60)9}237\\\phantom{60)}\underline{\phantom{9}180\phantom{9}}\\\phantom{60)99}570\\\end{array}$$

Find closest multiple of $60$ to $570$. We see that $9 \times 60 = 540$ is the nearest. Now subtract $540$ from $570$ to get reminder $30$. Add $9$ to quotient.

$$\begin{array}{l}\phantom{60)}00639\phantom{10}\\60\overline{)38370}\\\phantom{60)}\underline{\phantom{}360\phantom{99}}\\\phantom{60)9}237\\\phantom{60)}\underline{\phantom{9}180\phantom{9}}\\\phantom{60)99}570\\\phantom{60)}\underline{\phantom{99}540\phantom{}}\\\phantom{60)999}30\\\end{array}$$

Since $30$ is less than $60$, stop the division. The reminder is $30$. The topmost line $00639$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $639$.

$$\text{Quotient: }639$$ $$\text{Reminder: }30$$

Show Solution

Factor

$\frac{1279}{2} = 639\frac{1}{2} = 639.5$

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Steps For Long Division Method

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