Solve 4585div16

$$4585 \div 16$$

Evaluate

$$\frac{4585}{16}=286.5625$$

Steps For Long Division Method

Use the 1^{st} digit 4 from dividend 4585

$$\begin{array}{l}\phantom{16)}\phantom{1}\\16\overline{)4585}\\\end{array}$$

Since 4 is less than 16, use the next digit 5 from dividend 4585 and add 0 to the quotient

$$\begin{array}{l}\phantom{16)}0\phantom{2}\\16\overline{)4585}\\\end{array}$$

Use the 2^{nd} digit 5 from dividend 4585

$$\begin{array}{l}\phantom{16)}0\phantom{3}\\16\overline{)4585}\\\end{array}$$

Find closest multiple of 16 to 45. We see that 2 \times 16 = 32 is the nearest. Now subtract 32 from 45 to get reminder 13. Add 2 to quotient.

$$\begin{array}{l}\phantom{16)}02\phantom{4}\\16\overline{)4585}\\\phantom{16)}\underline{\phantom{}32\phantom{99}}\\\phantom{16)}13\\\end{array}$$

Use the 3^{rd} digit 8 from dividend 4585

$$\begin{array}{l}\phantom{16)}02\phantom{5}\\16\overline{)4585}\\\phantom{16)}\underline{\phantom{}32\phantom{99}}\\\phantom{16)}138\\\end{array}$$

Find closest multiple of 16 to 138. We see that 8 \times 16 = 128 is the nearest. Now subtract 128 from 138 to get reminder 10. Add 8 to quotient.

$$\begin{array}{l}\phantom{16)}028\phantom{6}\\16\overline{)4585}\\\phantom{16)}\underline{\phantom{}32\phantom{99}}\\\phantom{16)}138\\\phantom{16)}\underline{\phantom{}128\phantom{9}}\\\phantom{16)9}10\\\end{array}$$

Use the 4^{th} digit 5 from dividend 4585

$$\begin{array}{l}\phantom{16)}028\phantom{7}\\16\overline{)4585}\\\phantom{16)}\underline{\phantom{}32\phantom{99}}\\\phantom{16)}138\\\phantom{16)}\underline{\phantom{}128\phantom{9}}\\\phantom{16)9}105\\\end{array}$$

Find closest multiple of 16 to 105. We see that 6 \times 16 = 96 is the nearest. Now subtract 96 from 105 to get reminder 9. Add 6 to quotient.

$$\begin{array}{l}\phantom{16)}0286\phantom{8}\\16\overline{)4585}\\\phantom{16)}\underline{\phantom{}32\phantom{99}}\\\phantom{16)}138\\\phantom{16)}\underline{\phantom{}128\phantom{9}}\\\phantom{16)9}105\\\phantom{16)}\underline{\phantom{99}96\phantom{}}\\\phantom{16)999}9\\\end{array}$$

Since 9 is less than 16, stop the division. The reminder is 9. The topmost line 0286 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 286.

$$\text{Quotient: }286 \text{Reminder: }9$$

Factor

$$\frac{5 \cdot 7 \cdot 131}{2 ^ {4}} = 286\frac{9}{16} = 286.5625$$