Solve 6540/15

$$\frac { 6540 } { 15 }$$

Evaluate

$$436$$

Steps For Long Division Method

Use the 1^{st} digit 6 from dividend 6540

$$\begin{array}{l}\phantom{15)}\phantom{1}\\15\overline{)6540}\\\end{array}$$

Since 6 is less than 15, use the next digit 5 from dividend 6540 and add 0 to the quotient

$$\begin{array}{l}\phantom{15)}0\phantom{2}\\15\overline{)6540}\\\end{array}$$

Use the 2^{nd} digit 5 from dividend 6540

$$\begin{array}{l}\phantom{15)}0\phantom{3}\\15\overline{)6540}\\\end{array}$$

Find closest multiple of 15 to 65. We see that 4 \times 15 = 60 is the nearest. Now subtract 60 from 65 to get reminder 5. Add 4 to quotient.

$$\begin{array}{l}\phantom{15)}04\phantom{4}\\15\overline{)6540}\\\phantom{15)}\underline{\phantom{}60\phantom{99}}\\\phantom{15)9}5\\\end{array}$$

Use the 3^{rd} digit 4 from dividend 6540

$$\begin{array}{l}\phantom{15)}04\phantom{5}\\15\overline{)6540}\\\phantom{15)}\underline{\phantom{}60\phantom{99}}\\\phantom{15)9}54\\\end{array}$$

Find closest multiple of 15 to 54. We see that 3 \times 15 = 45 is the nearest. Now subtract 45 from 54 to get reminder 9. Add 3 to quotient.

$$\begin{array}{l}\phantom{15)}043\phantom{6}\\15\overline{)6540}\\\phantom{15)}\underline{\phantom{}60\phantom{99}}\\\phantom{15)9}54\\\phantom{15)}\underline{\phantom{9}45\phantom{9}}\\\phantom{15)99}9\\\end{array}$$

Use the 4^{th} digit 0 from dividend 6540

$$\begin{array}{l}\phantom{15)}043\phantom{7}\\15\overline{)6540}\\\phantom{15)}\underline{\phantom{}60\phantom{99}}\\\phantom{15)9}54\\\phantom{15)}\underline{\phantom{9}45\phantom{9}}\\\phantom{15)99}90\\\end{array}$$

Find closest multiple of 15 to 90. We see that 6 \times 15 = 90 is the nearest. Now subtract 90 from 90 to get reminder 0. Add 6 to quotient.

$$\begin{array}{l}\phantom{15)}0436\phantom{8}\\15\overline{)6540}\\\phantom{15)}\underline{\phantom{}60\phantom{99}}\\\phantom{15)9}54\\\phantom{15)}\underline{\phantom{9}45\phantom{9}}\\\phantom{15)99}90\\\phantom{15)}\underline{\phantom{99}90\phantom{}}\\\phantom{15)9999}0\\\end{array}$$

Since 0 is less than 15, stop the division. The reminder is 0. The topmost line 0436 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 436.

$$\text{Quotient: }436 \text{Reminder: }0$$

Factor

$$2^{2}\times 109$$