Solve 164%=

$$164 \% =$$

Evaluate

$$\frac{41}{25}=1.64$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 164

$$\begin{array}{l}\phantom{100)}\phantom{1}\\100\overline{)164}\\\end{array}$$

Since 1 is less than 100, use the next digit 6 from dividend 164 and add 0 to the quotient

$$\begin{array}{l}\phantom{100)}0\phantom{2}\\100\overline{)164}\\\end{array}$$

Use the 2^{nd} digit 6 from dividend 164

$$\begin{array}{l}\phantom{100)}0\phantom{3}\\100\overline{)164}\\\end{array}$$

Since 16 is less than 100, use the next digit 4 from dividend 164 and add 0 to the quotient

$$\begin{array}{l}\phantom{100)}00\phantom{4}\\100\overline{)164}\\\end{array}$$

Use the 3^{rd} digit 4 from dividend 164

$$\begin{array}{l}\phantom{100)}00\phantom{5}\\100\overline{)164}\\\end{array}$$

Find closest multiple of 100 to 164. We see that 1 \times 100 = 100 is the nearest. Now subtract 100 from 164 to get reminder 64. Add 1 to quotient.

$$\begin{array}{l}\phantom{100)}001\phantom{6}\\100\overline{)164}\\\phantom{100)}\underline{\phantom{}100\phantom{}}\\\phantom{100)9}64\\\end{array}$$

Since 64 is less than 100, stop the division. The reminder is 64. The topmost line 001 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1.

$$\text{Quotient: }1 \text{Reminder: }64$$

Factor

$$\frac{41}{5 ^ {2}} = 1\frac{16}{25} = 1.64$$