Solve 66464%

$$66464 \%$$

Evaluate

$$\frac{16616}{25}=664.64$$

Steps For Long Division Method

Use the 1^{st} digit 6 from dividend 66464

$$\begin{array}{l}\phantom{100)}\phantom{1}\\100\overline{)66464}\\\end{array}$$

Since 6 is less than 100, use the next digit 6 from dividend 66464 and add 0 to the quotient

$$\begin{array}{l}\phantom{100)}0\phantom{2}\\100\overline{)66464}\\\end{array}$$

Use the 2^{nd} digit 6 from dividend 66464

$$\begin{array}{l}\phantom{100)}0\phantom{3}\\100\overline{)66464}\\\end{array}$$

Since 66 is less than 100, use the next digit 4 from dividend 66464 and add 0 to the quotient

$$\begin{array}{l}\phantom{100)}00\phantom{4}\\100\overline{)66464}\\\end{array}$$

Use the 3^{rd} digit 4 from dividend 66464

$$\begin{array}{l}\phantom{100)}00\phantom{5}\\100\overline{)66464}\\\end{array}$$

Find closest multiple of 100 to 664. We see that 6 \times 100 = 600 is the nearest. Now subtract 600 from 664 to get reminder 64. Add 6 to quotient.

$$\begin{array}{l}\phantom{100)}006\phantom{6}\\100\overline{)66464}\\\phantom{100)}\underline{\phantom{}600\phantom{99}}\\\phantom{100)9}64\\\end{array}$$

Use the 4^{th} digit 6 from dividend 66464

$$\begin{array}{l}\phantom{100)}006\phantom{7}\\100\overline{)66464}\\\phantom{100)}\underline{\phantom{}600\phantom{99}}\\\phantom{100)9}646\\\end{array}$$

Find closest multiple of 100 to 646. We see that 6 \times 100 = 600 is the nearest. Now subtract 600 from 646 to get reminder 46. Add 6 to quotient.

$$\begin{array}{l}\phantom{100)}0066\phantom{8}\\100\overline{)66464}\\\phantom{100)}\underline{\phantom{}600\phantom{99}}\\\phantom{100)9}646\\\phantom{100)}\underline{\phantom{9}600\phantom{9}}\\\phantom{100)99}46\\\end{array}$$

Use the 5^{th} digit 4 from dividend 66464

$$\begin{array}{l}\phantom{100)}0066\phantom{9}\\100\overline{)66464}\\\phantom{100)}\underline{\phantom{}600\phantom{99}}\\\phantom{100)9}646\\\phantom{100)}\underline{\phantom{9}600\phantom{9}}\\\phantom{100)99}464\\\end{array}$$

Find closest multiple of 100 to 464. We see that 4 \times 100 = 400 is the nearest. Now subtract 400 from 464 to get reminder 64. Add 4 to quotient.

$$\begin{array}{l}\phantom{100)}00664\phantom{10}\\100\overline{)66464}\\\phantom{100)}\underline{\phantom{}600\phantom{99}}\\\phantom{100)9}646\\\phantom{100)}\underline{\phantom{9}600\phantom{9}}\\\phantom{100)99}464\\\phantom{100)}\underline{\phantom{99}400\phantom{}}\\\phantom{100)999}64\\\end{array}$$

Since 64 is less than 100, stop the division. The reminder is 64. The topmost line 00664 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 664.

$$\text{Quotient: }664 \text{Reminder: }64$$

Factor

$$\frac{2 ^ {3} \cdot 31 \cdot 67}{5 ^ {2}} = 664\frac{16}{25} = 664.64$$