Solve 209div16

$$209 \div 16$$

Evaluate

$$\frac{209}{16}=13.0625$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 209

$$\begin{array}{l}\phantom{16)}\phantom{1}\\16\overline{)209}\\\end{array}$$

Since 2 is less than 16, use the next digit 0 from dividend 209 and add 0 to the quotient

$$\begin{array}{l}\phantom{16)}0\phantom{2}\\16\overline{)209}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 209

$$\begin{array}{l}\phantom{16)}0\phantom{3}\\16\overline{)209}\\\end{array}$$

Find closest multiple of 16 to 20. We see that 1 \times 16 = 16 is the nearest. Now subtract 16 from 20 to get reminder 4. Add 1 to quotient.

$$\begin{array}{l}\phantom{16)}01\phantom{4}\\16\overline{)209}\\\phantom{16)}\underline{\phantom{}16\phantom{9}}\\\phantom{16)9}4\\\end{array}$$

Use the 3^{rd} digit 9 from dividend 209

$$\begin{array}{l}\phantom{16)}01\phantom{5}\\16\overline{)209}\\\phantom{16)}\underline{\phantom{}16\phantom{9}}\\\phantom{16)9}49\\\end{array}$$

Find closest multiple of 16 to 49. We see that 3 \times 16 = 48 is the nearest. Now subtract 48 from 49 to get reminder 1. Add 3 to quotient.

$$\begin{array}{l}\phantom{16)}013\phantom{6}\\16\overline{)209}\\\phantom{16)}\underline{\phantom{}16\phantom{9}}\\\phantom{16)9}49\\\phantom{16)}\underline{\phantom{9}48\phantom{}}\\\phantom{16)99}1\\\end{array}$$

Since 1 is less than 16, stop the division. The reminder is 1. The topmost line 013 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 13.

$$\text{Quotient: }13 \text{Reminder: }1$$

Factor

$$\frac{11 \cdot 19}{2 ^ {4}} = 13\frac{1}{16} = 13.0625$$