Solve 2587/30

$$\frac{ 2587 }{ 30 }$$

Evaluate

$$\frac{2587}{30}\approx 86.233333333$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 2587

$$\begin{array}{l}\phantom{30)}\phantom{1}\\30\overline{)2587}\\\end{array}$$

Since 2 is less than 30, use the next digit 5 from dividend 2587 and add 0 to the quotient

$$\begin{array}{l}\phantom{30)}0\phantom{2}\\30\overline{)2587}\\\end{array}$$

Use the 2^{nd} digit 5 from dividend 2587

$$\begin{array}{l}\phantom{30)}0\phantom{3}\\30\overline{)2587}\\\end{array}$$

Since 25 is less than 30, use the next digit 8 from dividend 2587 and add 0 to the quotient

$$\begin{array}{l}\phantom{30)}00\phantom{4}\\30\overline{)2587}\\\end{array}$$

Use the 3^{rd} digit 8 from dividend 2587

$$\begin{array}{l}\phantom{30)}00\phantom{5}\\30\overline{)2587}\\\end{array}$$

Find closest multiple of 30 to 258. We see that 8 \times 30 = 240 is the nearest. Now subtract 240 from 258 to get reminder 18. Add 8 to quotient.

$$\begin{array}{l}\phantom{30)}008\phantom{6}\\30\overline{)2587}\\\phantom{30)}\underline{\phantom{}240\phantom{9}}\\\phantom{30)9}18\\\end{array}$$

Use the 4^{th} digit 7 from dividend 2587

$$\begin{array}{l}\phantom{30)}008\phantom{7}\\30\overline{)2587}\\\phantom{30)}\underline{\phantom{}240\phantom{9}}\\\phantom{30)9}187\\\end{array}$$

Find closest multiple of 30 to 187. We see that 6 \times 30 = 180 is the nearest. Now subtract 180 from 187 to get reminder 7. Add 6 to quotient.

$$\begin{array}{l}\phantom{30)}0086\phantom{8}\\30\overline{)2587}\\\phantom{30)}\underline{\phantom{}240\phantom{9}}\\\phantom{30)9}187\\\phantom{30)}\underline{\phantom{9}180\phantom{}}\\\phantom{30)999}7\\\end{array}$$

Since 7 is less than 30, stop the division. The reminder is 7. The topmost line 0086 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 86.

$$\text{Quotient: }86 \text{Reminder: }7$$

Factor

$$\frac{13 \cdot 199}{2 \cdot 3 \cdot 5} = 86\frac{7}{30} = 86.23333333333333$$