Solve 1539div100

$$1539 \div 100$$

Evaluate

$$\frac{1539}{100}=15.39$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1539

$$\begin{array}{l}\phantom{100)}\phantom{1}\\100\overline{)1539}\\\end{array}$$

Since 1 is less than 100, use the next digit 5 from dividend 1539 and add 0 to the quotient

$$\begin{array}{l}\phantom{100)}0\phantom{2}\\100\overline{)1539}\\\end{array}$$

Use the 2^{nd} digit 5 from dividend 1539

$$\begin{array}{l}\phantom{100)}0\phantom{3}\\100\overline{)1539}\\\end{array}$$

Since 15 is less than 100, use the next digit 3 from dividend 1539 and add 0 to the quotient

$$\begin{array}{l}\phantom{100)}00\phantom{4}\\100\overline{)1539}\\\end{array}$$

Use the 3^{rd} digit 3 from dividend 1539

$$\begin{array}{l}\phantom{100)}00\phantom{5}\\100\overline{)1539}\\\end{array}$$

Find closest multiple of 100 to 153. We see that 1 \times 100 = 100 is the nearest. Now subtract 100 from 153 to get reminder 53. Add 1 to quotient.

$$\begin{array}{l}\phantom{100)}001\phantom{6}\\100\overline{)1539}\\\phantom{100)}\underline{\phantom{}100\phantom{9}}\\\phantom{100)9}53\\\end{array}$$

Use the 4^{th} digit 9 from dividend 1539

$$\begin{array}{l}\phantom{100)}001\phantom{7}\\100\overline{)1539}\\\phantom{100)}\underline{\phantom{}100\phantom{9}}\\\phantom{100)9}539\\\end{array}$$

Find closest multiple of 100 to 539. We see that 5 \times 100 = 500 is the nearest. Now subtract 500 from 539 to get reminder 39. Add 5 to quotient.

$$\begin{array}{l}\phantom{100)}0015\phantom{8}\\100\overline{)1539}\\\phantom{100)}\underline{\phantom{}100\phantom{9}}\\\phantom{100)9}539\\\phantom{100)}\underline{\phantom{9}500\phantom{}}\\\phantom{100)99}39\\\end{array}$$

Since 39 is less than 100, stop the division. The reminder is 39. The topmost line 0015 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 15.

$$\text{Quotient: }15 \text{Reminder: }39$$

Factor

$$\frac{3 ^ {4} \cdot 19}{2 ^ {2} \cdot 5 ^ {2}} = 15\frac{39}{100} = 15.39$$