Solve 1218div21

$$1218 \div 21$$

Evaluate

$$58$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1218

$$\begin{array}{l}\phantom{21)}\phantom{1}\\21\overline{)1218}\\\end{array}$$

Since 1 is less than 21, use the next digit 2 from dividend 1218 and add 0 to the quotient

$$\begin{array}{l}\phantom{21)}0\phantom{2}\\21\overline{)1218}\\\end{array}$$

Use the 2^{nd} digit 2 from dividend 1218

$$\begin{array}{l}\phantom{21)}0\phantom{3}\\21\overline{)1218}\\\end{array}$$

Since 12 is less than 21, use the next digit 1 from dividend 1218 and add 0 to the quotient

$$\begin{array}{l}\phantom{21)}00\phantom{4}\\21\overline{)1218}\\\end{array}$$

Use the 3^{rd} digit 1 from dividend 1218

$$\begin{array}{l}\phantom{21)}00\phantom{5}\\21\overline{)1218}\\\end{array}$$

Find closest multiple of 21 to 121. We see that 5 \times 21 = 105 is the nearest. Now subtract 105 from 121 to get reminder 16. Add 5 to quotient.

$$\begin{array}{l}\phantom{21)}005\phantom{6}\\21\overline{)1218}\\\phantom{21)}\underline{\phantom{}105\phantom{9}}\\\phantom{21)9}16\\\end{array}$$

Use the 4^{th} digit 8 from dividend 1218

$$\begin{array}{l}\phantom{21)}005\phantom{7}\\21\overline{)1218}\\\phantom{21)}\underline{\phantom{}105\phantom{9}}\\\phantom{21)9}168\\\end{array}$$

Find closest multiple of 21 to 168. We see that 8 \times 21 = 168 is the nearest. Now subtract 168 from 168 to get reminder 0. Add 8 to quotient.

$$\begin{array}{l}\phantom{21)}0058\phantom{8}\\21\overline{)1218}\\\phantom{21)}\underline{\phantom{}105\phantom{9}}\\\phantom{21)9}168\\\phantom{21)}\underline{\phantom{9}168\phantom{}}\\\phantom{21)9999}0\\\end{array}$$

Since 0 is less than 21, stop the division. The reminder is 0. The topmost line 0058 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 58.

$$\text{Quotient: }58 \text{Reminder: }0$$

Factor

$$2\times 29$$