Solve 503/16

$$\frac { 503 } { 16 }$$

Evaluate

$$\frac{503}{16}=31.4375$$

Steps For Long Division Method

Use the 1^{st} digit 5 from dividend 503

$$\begin{array}{l}\phantom{16)}\phantom{1}\\16\overline{)503}\\\end{array}$$

Since 5 is less than 16, use the next digit 0 from dividend 503 and add 0 to the quotient

$$\begin{array}{l}\phantom{16)}0\phantom{2}\\16\overline{)503}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 503

$$\begin{array}{l}\phantom{16)}0\phantom{3}\\16\overline{)503}\\\end{array}$$

Find closest multiple of 16 to 50. We see that 3 \times 16 = 48 is the nearest. Now subtract 48 from 50 to get reminder 2. Add 3 to quotient.

$$\begin{array}{l}\phantom{16)}03\phantom{4}\\16\overline{)503}\\\phantom{16)}\underline{\phantom{}48\phantom{9}}\\\phantom{16)9}2\\\end{array}$$

Use the 3^{rd} digit 3 from dividend 503

$$\begin{array}{l}\phantom{16)}03\phantom{5}\\16\overline{)503}\\\phantom{16)}\underline{\phantom{}48\phantom{9}}\\\phantom{16)9}23\\\end{array}$$

Find closest multiple of 16 to 23. We see that 1 \times 16 = 16 is the nearest. Now subtract 16 from 23 to get reminder 7. Add 1 to quotient.

$$\begin{array}{l}\phantom{16)}031\phantom{6}\\16\overline{)503}\\\phantom{16)}\underline{\phantom{}48\phantom{9}}\\\phantom{16)9}23\\\phantom{16)}\underline{\phantom{9}16\phantom{}}\\\phantom{16)99}7\\\end{array}$$

Since 7 is less than 16, stop the division. The reminder is 7. The topmost line 031 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 31.

$$\text{Quotient: }31 \text{Reminder: }7$$

Factor

$$\frac{503}{2 ^ {4}} = 31\frac{7}{16} = 31.4375$$