Solve 7182div21

$$7182 \div 21$$

Evaluate

$$342$$

Steps For Long Division Method

Use the 1^{st} digit 7 from dividend 7182

$$\begin{array}{l}\phantom{21)}\phantom{1}\\21\overline{)7182}\\\end{array}$$

Since 7 is less than 21, use the next digit 1 from dividend 7182 and add 0 to the quotient

$$\begin{array}{l}\phantom{21)}0\phantom{2}\\21\overline{)7182}\\\end{array}$$

Use the 2^{nd} digit 1 from dividend 7182

$$\begin{array}{l}\phantom{21)}0\phantom{3}\\21\overline{)7182}\\\end{array}$$

Find closest multiple of 21 to 71. We see that 3 \times 21 = 63 is the nearest. Now subtract 63 from 71 to get reminder 8. Add 3 to quotient.

$$\begin{array}{l}\phantom{21)}03\phantom{4}\\21\overline{)7182}\\\phantom{21)}\underline{\phantom{}63\phantom{99}}\\\phantom{21)9}8\\\end{array}$$

Use the 3^{rd} digit 8 from dividend 7182

$$\begin{array}{l}\phantom{21)}03\phantom{5}\\21\overline{)7182}\\\phantom{21)}\underline{\phantom{}63\phantom{99}}\\\phantom{21)9}88\\\end{array}$$

Find closest multiple of 21 to 88. We see that 4 \times 21 = 84 is the nearest. Now subtract 84 from 88 to get reminder 4. Add 4 to quotient.

$$\begin{array}{l}\phantom{21)}034\phantom{6}\\21\overline{)7182}\\\phantom{21)}\underline{\phantom{}63\phantom{99}}\\\phantom{21)9}88\\\phantom{21)}\underline{\phantom{9}84\phantom{9}}\\\phantom{21)99}4\\\end{array}$$

Use the 4^{th} digit 2 from dividend 7182

$$\begin{array}{l}\phantom{21)}034\phantom{7}\\21\overline{)7182}\\\phantom{21)}\underline{\phantom{}63\phantom{99}}\\\phantom{21)9}88\\\phantom{21)}\underline{\phantom{9}84\phantom{9}}\\\phantom{21)99}42\\\end{array}$$

Find closest multiple of 21 to 42. We see that 2 \times 21 = 42 is the nearest. Now subtract 42 from 42 to get reminder 0. Add 2 to quotient.

$$\begin{array}{l}\phantom{21)}0342\phantom{8}\\21\overline{)7182}\\\phantom{21)}\underline{\phantom{}63\phantom{99}}\\\phantom{21)9}88\\\phantom{21)}\underline{\phantom{9}84\phantom{9}}\\\phantom{21)99}42\\\phantom{21)}\underline{\phantom{99}42\phantom{}}\\\phantom{21)9999}0\\\end{array}$$

Since 0 is less than 21, stop the division. The reminder is 0. The topmost line 0342 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 342.

$$\text{Quotient: }342 \text{Reminder: }0$$

Factor

$$2\times 3^{2}\times 19$$