Solve 2268div42

$$2268 \div 42$$

Evaluate

$$54$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 2268

$$\begin{array}{l}\phantom{42)}\phantom{1}\\42\overline{)2268}\\\end{array}$$

Since 2 is less than 42, use the next digit 2 from dividend 2268 and add 0 to the quotient

$$\begin{array}{l}\phantom{42)}0\phantom{2}\\42\overline{)2268}\\\end{array}$$

Use the 2^{nd} digit 2 from dividend 2268

$$\begin{array}{l}\phantom{42)}0\phantom{3}\\42\overline{)2268}\\\end{array}$$

Since 22 is less than 42, use the next digit 6 from dividend 2268 and add 0 to the quotient

$$\begin{array}{l}\phantom{42)}00\phantom{4}\\42\overline{)2268}\\\end{array}$$

Use the 3^{rd} digit 6 from dividend 2268

$$\begin{array}{l}\phantom{42)}00\phantom{5}\\42\overline{)2268}\\\end{array}$$

Find closest multiple of 42 to 226. We see that 5 \times 42 = 210 is the nearest. Now subtract 210 from 226 to get reminder 16. Add 5 to quotient.

$$\begin{array}{l}\phantom{42)}005\phantom{6}\\42\overline{)2268}\\\phantom{42)}\underline{\phantom{}210\phantom{9}}\\\phantom{42)9}16\\\end{array}$$

Use the 4^{th} digit 8 from dividend 2268

$$\begin{array}{l}\phantom{42)}005\phantom{7}\\42\overline{)2268}\\\phantom{42)}\underline{\phantom{}210\phantom{9}}\\\phantom{42)9}168\\\end{array}$$

Find closest multiple of 42 to 168. We see that 4 \times 42 = 168 is the nearest. Now subtract 168 from 168 to get reminder 0. Add 4 to quotient.

$$\begin{array}{l}\phantom{42)}0054\phantom{8}\\42\overline{)2268}\\\phantom{42)}\underline{\phantom{}210\phantom{9}}\\\phantom{42)9}168\\\phantom{42)}\underline{\phantom{9}168\phantom{}}\\\phantom{42)9999}0\\\end{array}$$

Since 0 is less than 42, stop the division. The reminder is 0. The topmost line 0054 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 54.

$$\text{Quotient: }54 \text{Reminder: }0$$

Factor

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