Solve 15625div100

$$15625 \div 100$$

Evaluate

$$\frac{625}{4}=156.25$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 15625

$$\begin{array}{l}\phantom{100)}\phantom{1}\\100\overline{)15625}\\\end{array}$$

Since 1 is less than 100, use the next digit 5 from dividend 15625 and add 0 to the quotient

$$\begin{array}{l}\phantom{100)}0\phantom{2}\\100\overline{)15625}\\\end{array}$$

Use the 2^{nd} digit 5 from dividend 15625

$$\begin{array}{l}\phantom{100)}0\phantom{3}\\100\overline{)15625}\\\end{array}$$

Since 15 is less than 100, use the next digit 6 from dividend 15625 and add 0 to the quotient

$$\begin{array}{l}\phantom{100)}00\phantom{4}\\100\overline{)15625}\\\end{array}$$

Use the 3^{rd} digit 6 from dividend 15625

$$\begin{array}{l}\phantom{100)}00\phantom{5}\\100\overline{)15625}\\\end{array}$$

Find closest multiple of 100 to 156. We see that 1 \times 100 = 100 is the nearest. Now subtract 100 from 156 to get reminder 56. Add 1 to quotient.

$$\begin{array}{l}\phantom{100)}001\phantom{6}\\100\overline{)15625}\\\phantom{100)}\underline{\phantom{}100\phantom{99}}\\\phantom{100)9}56\\\end{array}$$

Use the 4^{th} digit 2 from dividend 15625

$$\begin{array}{l}\phantom{100)}001\phantom{7}\\100\overline{)15625}\\\phantom{100)}\underline{\phantom{}100\phantom{99}}\\\phantom{100)9}562\\\end{array}$$

Find closest multiple of 100 to 562. We see that 5 \times 100 = 500 is the nearest. Now subtract 500 from 562 to get reminder 62. Add 5 to quotient.

$$\begin{array}{l}\phantom{100)}0015\phantom{8}\\100\overline{)15625}\\\phantom{100)}\underline{\phantom{}100\phantom{99}}\\\phantom{100)9}562\\\phantom{100)}\underline{\phantom{9}500\phantom{9}}\\\phantom{100)99}62\\\end{array}$$

Use the 5^{th} digit 5 from dividend 15625

$$\begin{array}{l}\phantom{100)}0015\phantom{9}\\100\overline{)15625}\\\phantom{100)}\underline{\phantom{}100\phantom{99}}\\\phantom{100)9}562\\\phantom{100)}\underline{\phantom{9}500\phantom{9}}\\\phantom{100)99}625\\\end{array}$$

Find closest multiple of 100 to 625. We see that 6 \times 100 = 600 is the nearest. Now subtract 600 from 625 to get reminder 25. Add 6 to quotient.

$$\begin{array}{l}\phantom{100)}00156\phantom{10}\\100\overline{)15625}\\\phantom{100)}\underline{\phantom{}100\phantom{99}}\\\phantom{100)9}562\\\phantom{100)}\underline{\phantom{9}500\phantom{9}}\\\phantom{100)99}625\\\phantom{100)}\underline{\phantom{99}600\phantom{}}\\\phantom{100)999}25\\\end{array}$$

Since 25 is less than 100, stop the division. The reminder is 25. The topmost line 00156 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 156.

$$\text{Quotient: }156 \text{Reminder: }25$$

Factor

$$\frac{5 ^ {4}}{2 ^ {2}} = 156\frac{1}{4} = 156.25$$