Solve 9999/16

$$\frac { 9999 } { 16 }$$

Evaluate

$$\frac{9999}{16}=624.9375$$

Steps For Long Division Method

Use the 1^{st} digit 9 from dividend 9999

$$\begin{array}{l}\phantom{16)}\phantom{1}\\16\overline{)9999}\\\end{array}$$

Since 9 is less than 16, use the next digit 9 from dividend 9999 and add 0 to the quotient

$$\begin{array}{l}\phantom{16)}0\phantom{2}\\16\overline{)9999}\\\end{array}$$

Use the 2^{nd} digit 9 from dividend 9999

$$\begin{array}{l}\phantom{16)}0\phantom{3}\\16\overline{)9999}\\\end{array}$$

Find closest multiple of 16 to 99. We see that 6 \times 16 = 96 is the nearest. Now subtract 96 from 99 to get reminder 3. Add 6 to quotient.

$$\begin{array}{l}\phantom{16)}06\phantom{4}\\16\overline{)9999}\\\phantom{16)}\underline{\phantom{}96\phantom{99}}\\\phantom{16)9}3\\\end{array}$$

Use the 3^{rd} digit 9 from dividend 9999

$$\begin{array}{l}\phantom{16)}06\phantom{5}\\16\overline{)9999}\\\phantom{16)}\underline{\phantom{}96\phantom{99}}\\\phantom{16)9}39\\\end{array}$$

Find closest multiple of 16 to 39. We see that 2 \times 16 = 32 is the nearest. Now subtract 32 from 39 to get reminder 7. Add 2 to quotient.

$$\begin{array}{l}\phantom{16)}062\phantom{6}\\16\overline{)9999}\\\phantom{16)}\underline{\phantom{}96\phantom{99}}\\\phantom{16)9}39\\\phantom{16)}\underline{\phantom{9}32\phantom{9}}\\\phantom{16)99}7\\\end{array}$$

Use the 4^{th} digit 9 from dividend 9999

$$\begin{array}{l}\phantom{16)}062\phantom{7}\\16\overline{)9999}\\\phantom{16)}\underline{\phantom{}96\phantom{99}}\\\phantom{16)9}39\\\phantom{16)}\underline{\phantom{9}32\phantom{9}}\\\phantom{16)99}79\\\end{array}$$

Find closest multiple of 16 to 79. We see that 4 \times 16 = 64 is the nearest. Now subtract 64 from 79 to get reminder 15. Add 4 to quotient.

$$\begin{array}{l}\phantom{16)}0624\phantom{8}\\16\overline{)9999}\\\phantom{16)}\underline{\phantom{}96\phantom{99}}\\\phantom{16)9}39\\\phantom{16)}\underline{\phantom{9}32\phantom{9}}\\\phantom{16)99}79\\\phantom{16)}\underline{\phantom{99}64\phantom{}}\\\phantom{16)99}15\\\end{array}$$

Since 15 is less than 16, stop the division. The reminder is 15. The topmost line 0624 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 624.

$$\text{Quotient: }624 \text{Reminder: }15$$

Factor

$$\frac{3 ^ {2} \cdot 11 \cdot 101}{2 ^ {4}} = 624\frac{15}{16} = 624.9375$$