Solve 10000div128

$$10000 \div 128$$

Evaluate

$$\frac{625}{8}=78.125$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 10000

$$\begin{array}{l}\phantom{128)}\phantom{1}\\128\overline{)10000}\\\end{array}$$

Since 1 is less than 128, use the next digit 0 from dividend 10000 and add 0 to the quotient

$$\begin{array}{l}\phantom{128)}0\phantom{2}\\128\overline{)10000}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 10000

$$\begin{array}{l}\phantom{128)}0\phantom{3}\\128\overline{)10000}\\\end{array}$$

Since 10 is less than 128, use the next digit 0 from dividend 10000 and add 0 to the quotient

$$\begin{array}{l}\phantom{128)}00\phantom{4}\\128\overline{)10000}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 10000

$$\begin{array}{l}\phantom{128)}00\phantom{5}\\128\overline{)10000}\\\end{array}$$

Since 100 is less than 128, use the next digit 0 from dividend 10000 and add 0 to the quotient

$$\begin{array}{l}\phantom{128)}000\phantom{6}\\128\overline{)10000}\\\end{array}$$

Use the 4^{th} digit 0 from dividend 10000

$$\begin{array}{l}\phantom{128)}000\phantom{7}\\128\overline{)10000}\\\end{array}$$

Find closest multiple of 128 to 1000. We see that 7 \times 128 = 896 is the nearest. Now subtract 896 from 1000 to get reminder 104. Add 7 to quotient.

$$\begin{array}{l}\phantom{128)}0007\phantom{8}\\128\overline{)10000}\\\phantom{128)}\underline{\phantom{9}896\phantom{9}}\\\phantom{128)9}104\\\end{array}$$

Use the 5^{th} digit 0 from dividend 10000

$$\begin{array}{l}\phantom{128)}0007\phantom{9}\\128\overline{)10000}\\\phantom{128)}\underline{\phantom{9}896\phantom{9}}\\\phantom{128)9}1040\\\end{array}$$

Find closest multiple of 128 to 1040. We see that 8 \times 128 = 1024 is the nearest. Now subtract 1024 from 1040 to get reminder 16. Add 8 to quotient.

$$\begin{array}{l}\phantom{128)}00078\phantom{10}\\128\overline{)10000}\\\phantom{128)}\underline{\phantom{9}896\phantom{9}}\\\phantom{128)9}1040\\\phantom{128)}\underline{\phantom{9}1024\phantom{}}\\\phantom{128)999}16\\\end{array}$$

Since 16 is less than 128, stop the division. The reminder is 16. The topmost line 00078 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 78.

$$\text{Quotient: }78 \text{Reminder: }16$$

Factor

$$\frac{5 ^ {4}}{2 ^ {3}} = 78\frac{1}{8} = 78.125$$