Solve 2324/22

$$2324 / 22$$

Evaluate

$$\frac{1162}{11}\approx 105.636363636$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 2324

$$\begin{array}{l}\phantom{22)}\phantom{1}\\22\overline{)2324}\\\end{array}$$

Since 2 is less than 22, use the next digit 3 from dividend 2324 and add 0 to the quotient

$$\begin{array}{l}\phantom{22)}0\phantom{2}\\22\overline{)2324}\\\end{array}$$

Use the 2^{nd} digit 3 from dividend 2324

$$\begin{array}{l}\phantom{22)}0\phantom{3}\\22\overline{)2324}\\\end{array}$$

Find closest multiple of 22 to 23. We see that 1 \times 22 = 22 is the nearest. Now subtract 22 from 23 to get reminder 1. Add 1 to quotient.

$$\begin{array}{l}\phantom{22)}01\phantom{4}\\22\overline{)2324}\\\phantom{22)}\underline{\phantom{}22\phantom{99}}\\\phantom{22)9}1\\\end{array}$$

Use the 3^{rd} digit 2 from dividend 2324

$$\begin{array}{l}\phantom{22)}01\phantom{5}\\22\overline{)2324}\\\phantom{22)}\underline{\phantom{}22\phantom{99}}\\\phantom{22)9}12\\\end{array}$$

Since 12 is less than 22, use the next digit 4 from dividend 2324 and add 0 to the quotient

$$\begin{array}{l}\phantom{22)}010\phantom{6}\\22\overline{)2324}\\\phantom{22)}\underline{\phantom{}22\phantom{99}}\\\phantom{22)9}12\\\end{array}$$

Use the 4^{th} digit 4 from dividend 2324

$$\begin{array}{l}\phantom{22)}010\phantom{7}\\22\overline{)2324}\\\phantom{22)}\underline{\phantom{}22\phantom{99}}\\\phantom{22)9}124\\\end{array}$$

Find closest multiple of 22 to 124. We see that 5 \times 22 = 110 is the nearest. Now subtract 110 from 124 to get reminder 14. Add 5 to quotient.

$$\begin{array}{l}\phantom{22)}0105\phantom{8}\\22\overline{)2324}\\\phantom{22)}\underline{\phantom{}22\phantom{99}}\\\phantom{22)9}124\\\phantom{22)}\underline{\phantom{9}110\phantom{}}\\\phantom{22)99}14\\\end{array}$$

Since 14 is less than 22, stop the division. The reminder is 14. The topmost line 0105 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 105.

$$\text{Quotient: }105 \text{Reminder: }14$$

Factor

$$\frac{2 \cdot 7 \cdot 83}{11} = 105\frac{7}{11} = 105.63636363636364$$