Solve 2214div18

$$2214 \div 18$$

Evaluate

$$123$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 2214

$$\begin{array}{l}\phantom{18)}\phantom{1}\\18\overline{)2214}\\\end{array}$$

Since 2 is less than 18, use the next digit 2 from dividend 2214 and add 0 to the quotient

$$\begin{array}{l}\phantom{18)}0\phantom{2}\\18\overline{)2214}\\\end{array}$$

Use the 2^{nd} digit 2 from dividend 2214

$$\begin{array}{l}\phantom{18)}0\phantom{3}\\18\overline{)2214}\\\end{array}$$

Find closest multiple of 18 to 22. We see that 1 \times 18 = 18 is the nearest. Now subtract 18 from 22 to get reminder 4. Add 1 to quotient.

$$\begin{array}{l}\phantom{18)}01\phantom{4}\\18\overline{)2214}\\\phantom{18)}\underline{\phantom{}18\phantom{99}}\\\phantom{18)9}4\\\end{array}$$

Use the 3^{rd} digit 1 from dividend 2214

$$\begin{array}{l}\phantom{18)}01\phantom{5}\\18\overline{)2214}\\\phantom{18)}\underline{\phantom{}18\phantom{99}}\\\phantom{18)9}41\\\end{array}$$

Find closest multiple of 18 to 41. We see that 2 \times 18 = 36 is the nearest. Now subtract 36 from 41 to get reminder 5. Add 2 to quotient.

$$\begin{array}{l}\phantom{18)}012\phantom{6}\\18\overline{)2214}\\\phantom{18)}\underline{\phantom{}18\phantom{99}}\\\phantom{18)9}41\\\phantom{18)}\underline{\phantom{9}36\phantom{9}}\\\phantom{18)99}5\\\end{array}$$

Use the 4^{th} digit 4 from dividend 2214

$$\begin{array}{l}\phantom{18)}012\phantom{7}\\18\overline{)2214}\\\phantom{18)}\underline{\phantom{}18\phantom{99}}\\\phantom{18)9}41\\\phantom{18)}\underline{\phantom{9}36\phantom{9}}\\\phantom{18)99}54\\\end{array}$$

Find closest multiple of 18 to 54. We see that 3 \times 18 = 54 is the nearest. Now subtract 54 from 54 to get reminder 0. Add 3 to quotient.

$$\begin{array}{l}\phantom{18)}0123\phantom{8}\\18\overline{)2214}\\\phantom{18)}\underline{\phantom{}18\phantom{99}}\\\phantom{18)9}41\\\phantom{18)}\underline{\phantom{9}36\phantom{9}}\\\phantom{18)99}54\\\phantom{18)}\underline{\phantom{99}54\phantom{}}\\\phantom{18)9999}0\\\end{array}$$

Since 0 is less than 18, stop the division. The reminder is 0. The topmost line 0123 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 123.

$$\text{Quotient: }123 \text{Reminder: }0$$

Factor

$$3\times 41$$