Solve 217div16

$$217 \div 16$$

Evaluate

$$\frac{217}{16}=13.5625$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 217

$$\begin{array}{l}\phantom{16)}\phantom{1}\\16\overline{)217}\\\end{array}$$

Since 2 is less than 16, use the next digit 1 from dividend 217 and add 0 to the quotient

$$\begin{array}{l}\phantom{16)}0\phantom{2}\\16\overline{)217}\\\end{array}$$

Use the 2^{nd} digit 1 from dividend 217

$$\begin{array}{l}\phantom{16)}0\phantom{3}\\16\overline{)217}\\\end{array}$$

Find closest multiple of 16 to 21. We see that 1 \times 16 = 16 is the nearest. Now subtract 16 from 21 to get reminder 5. Add 1 to quotient.

$$\begin{array}{l}\phantom{16)}01\phantom{4}\\16\overline{)217}\\\phantom{16)}\underline{\phantom{}16\phantom{9}}\\\phantom{16)9}5\\\end{array}$$

Use the 3^{rd} digit 7 from dividend 217

$$\begin{array}{l}\phantom{16)}01\phantom{5}\\16\overline{)217}\\\phantom{16)}\underline{\phantom{}16\phantom{9}}\\\phantom{16)9}57\\\end{array}$$

Find closest multiple of 16 to 57. We see that 3 \times 16 = 48 is the nearest. Now subtract 48 from 57 to get reminder 9. Add 3 to quotient.

$$\begin{array}{l}\phantom{16)}013\phantom{6}\\16\overline{)217}\\\phantom{16)}\underline{\phantom{}16\phantom{9}}\\\phantom{16)9}57\\\phantom{16)}\underline{\phantom{9}48\phantom{}}\\\phantom{16)99}9\\\end{array}$$

Since 9 is less than 16, stop the division. The reminder is 9. The topmost line 013 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 13.

$$\text{Quotient: }13 \text{Reminder: }9$$

Factor

$$\frac{7 \cdot 31}{2 ^ {4}} = 13\frac{9}{16} = 13.5625$$