Solve 10944div114

$$10944 \div 114$$

Evaluate

$$96$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 10944

$$\begin{array}{l}\phantom{114)}\phantom{1}\\114\overline{)10944}\\\end{array}$$

Since 1 is less than 114, use the next digit 0 from dividend 10944 and add 0 to the quotient

$$\begin{array}{l}\phantom{114)}0\phantom{2}\\114\overline{)10944}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 10944

$$\begin{array}{l}\phantom{114)}0\phantom{3}\\114\overline{)10944}\\\end{array}$$

Since 10 is less than 114, use the next digit 9 from dividend 10944 and add 0 to the quotient

$$\begin{array}{l}\phantom{114)}00\phantom{4}\\114\overline{)10944}\\\end{array}$$

Use the 3^{rd} digit 9 from dividend 10944

$$\begin{array}{l}\phantom{114)}00\phantom{5}\\114\overline{)10944}\\\end{array}$$

Since 109 is less than 114, use the next digit 4 from dividend 10944 and add 0 to the quotient

$$\begin{array}{l}\phantom{114)}000\phantom{6}\\114\overline{)10944}\\\end{array}$$

Use the 4^{th} digit 4 from dividend 10944

$$\begin{array}{l}\phantom{114)}000\phantom{7}\\114\overline{)10944}\\\end{array}$$

Find closest multiple of 114 to 1094. We see that 9 \times 114 = 1026 is the nearest. Now subtract 1026 from 1094 to get reminder 68. Add 9 to quotient.

$$\begin{array}{l}\phantom{114)}0009\phantom{8}\\114\overline{)10944}\\\phantom{114)}\underline{\phantom{}1026\phantom{9}}\\\phantom{114)99}68\\\end{array}$$

Use the 5^{th} digit 4 from dividend 10944

$$\begin{array}{l}\phantom{114)}0009\phantom{9}\\114\overline{)10944}\\\phantom{114)}\underline{\phantom{}1026\phantom{9}}\\\phantom{114)99}684\\\end{array}$$

Find closest multiple of 114 to 684. We see that 6 \times 114 = 684 is the nearest. Now subtract 684 from 684 to get reminder 0. Add 6 to quotient.

$$\begin{array}{l}\phantom{114)}00096\phantom{10}\\114\overline{)10944}\\\phantom{114)}\underline{\phantom{}1026\phantom{9}}\\\phantom{114)99}684\\\phantom{114)}\underline{\phantom{99}684\phantom{}}\\\phantom{114)99999}0\\\end{array}$$

Since 0 is less than 114, stop the division. The reminder is 0. The topmost line 00096 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 96.

$$\text{Quotient: }96 \text{Reminder: }0$$

Factor

$$2^{5}\times 3$$