Solve 2364/15

$$\frac{ 2364 }{ 15 }$$

Evaluate

$$\frac{788}{5}=157.6$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 2364

$$\begin{array}{l}\phantom{15)}\phantom{1}\\15\overline{)2364}\\\end{array}$$

Since 2 is less than 15, use the next digit 3 from dividend 2364 and add 0 to the quotient

$$\begin{array}{l}\phantom{15)}0\phantom{2}\\15\overline{)2364}\\\end{array}$$

Use the 2^{nd} digit 3 from dividend 2364

$$\begin{array}{l}\phantom{15)}0\phantom{3}\\15\overline{)2364}\\\end{array}$$

Find closest multiple of 15 to 23. We see that 1 \times 15 = 15 is the nearest. Now subtract 15 from 23 to get reminder 8. Add 1 to quotient.

$$\begin{array}{l}\phantom{15)}01\phantom{4}\\15\overline{)2364}\\\phantom{15)}\underline{\phantom{}15\phantom{99}}\\\phantom{15)9}8\\\end{array}$$

Use the 3^{rd} digit 6 from dividend 2364

$$\begin{array}{l}\phantom{15)}01\phantom{5}\\15\overline{)2364}\\\phantom{15)}\underline{\phantom{}15\phantom{99}}\\\phantom{15)9}86\\\end{array}$$

Find closest multiple of 15 to 86. We see that 5 \times 15 = 75 is the nearest. Now subtract 75 from 86 to get reminder 11. Add 5 to quotient.

$$\begin{array}{l}\phantom{15)}015\phantom{6}\\15\overline{)2364}\\\phantom{15)}\underline{\phantom{}15\phantom{99}}\\\phantom{15)9}86\\\phantom{15)}\underline{\phantom{9}75\phantom{9}}\\\phantom{15)9}11\\\end{array}$$

Use the 4^{th} digit 4 from dividend 2364

$$\begin{array}{l}\phantom{15)}015\phantom{7}\\15\overline{)2364}\\\phantom{15)}\underline{\phantom{}15\phantom{99}}\\\phantom{15)9}86\\\phantom{15)}\underline{\phantom{9}75\phantom{9}}\\\phantom{15)9}114\\\end{array}$$

Find closest multiple of 15 to 114. We see that 7 \times 15 = 105 is the nearest. Now subtract 105 from 114 to get reminder 9. Add 7 to quotient.

$$\begin{array}{l}\phantom{15)}0157\phantom{8}\\15\overline{)2364}\\\phantom{15)}\underline{\phantom{}15\phantom{99}}\\\phantom{15)9}86\\\phantom{15)}\underline{\phantom{9}75\phantom{9}}\\\phantom{15)9}114\\\phantom{15)}\underline{\phantom{9}105\phantom{}}\\\phantom{15)999}9\\\end{array}$$

Since 9 is less than 15, stop the division. The reminder is 9. The topmost line 0157 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 157.

$$\text{Quotient: }157 \text{Reminder: }9$$

Factor

$$\frac{2 ^ {2} \cdot 197}{5} = 157\frac{3}{5} = 157.6$$