Solve 10753div16=

$$10753 \div 16=$$

Evaluate

$$\frac{10753}{16}=672.0625$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 10753

$$\begin{array}{l}\phantom{16)}\phantom{1}\\16\overline{)10753}\\\end{array}$$

Since 1 is less than 16, use the next digit 0 from dividend 10753 and add 0 to the quotient

$$\begin{array}{l}\phantom{16)}0\phantom{2}\\16\overline{)10753}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 10753

$$\begin{array}{l}\phantom{16)}0\phantom{3}\\16\overline{)10753}\\\end{array}$$

Since 10 is less than 16, use the next digit 7 from dividend 10753 and add 0 to the quotient

$$\begin{array}{l}\phantom{16)}00\phantom{4}\\16\overline{)10753}\\\end{array}$$

Use the 3^{rd} digit 7 from dividend 10753

$$\begin{array}{l}\phantom{16)}00\phantom{5}\\16\overline{)10753}\\\end{array}$$

Find closest multiple of 16 to 107. We see that 6 \times 16 = 96 is the nearest. Now subtract 96 from 107 to get reminder 11. Add 6 to quotient.

$$\begin{array}{l}\phantom{16)}006\phantom{6}\\16\overline{)10753}\\\phantom{16)}\underline{\phantom{9}96\phantom{99}}\\\phantom{16)9}11\\\end{array}$$

Use the 4^{th} digit 5 from dividend 10753

$$\begin{array}{l}\phantom{16)}006\phantom{7}\\16\overline{)10753}\\\phantom{16)}\underline{\phantom{9}96\phantom{99}}\\\phantom{16)9}115\\\end{array}$$

Find closest multiple of 16 to 115. We see that 7 \times 16 = 112 is the nearest. Now subtract 112 from 115 to get reminder 3. Add 7 to quotient.

$$\begin{array}{l}\phantom{16)}0067\phantom{8}\\16\overline{)10753}\\\phantom{16)}\underline{\phantom{9}96\phantom{99}}\\\phantom{16)9}115\\\phantom{16)}\underline{\phantom{9}112\phantom{9}}\\\phantom{16)999}3\\\end{array}$$

Use the 5^{th} digit 3 from dividend 10753

$$\begin{array}{l}\phantom{16)}0067\phantom{9}\\16\overline{)10753}\\\phantom{16)}\underline{\phantom{9}96\phantom{99}}\\\phantom{16)9}115\\\phantom{16)}\underline{\phantom{9}112\phantom{9}}\\\phantom{16)999}33\\\end{array}$$

Find closest multiple of 16 to 33. We see that 2 \times 16 = 32 is the nearest. Now subtract 32 from 33 to get reminder 1. Add 2 to quotient.

$$\begin{array}{l}\phantom{16)}00672\phantom{10}\\16\overline{)10753}\\\phantom{16)}\underline{\phantom{9}96\phantom{99}}\\\phantom{16)9}115\\\phantom{16)}\underline{\phantom{9}112\phantom{9}}\\\phantom{16)999}33\\\phantom{16)}\underline{\phantom{999}32\phantom{}}\\\phantom{16)9999}1\\\end{array}$$

Since 1 is less than 16, stop the division. The reminder is 1. The topmost line 00672 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 672.

$$\text{Quotient: }672 \text{Reminder: }1$$

Factor

$$\frac{10753}{2 ^ {4}} = 672\frac{1}{16} = 672.0625$$