Solve 2277div253

$$2277 \div 253$$

Evaluate

$$9$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 2277

$$\begin{array}{l}\phantom{253)}\phantom{1}\\253\overline{)2277}\\\end{array}$$

Since 2 is less than 253, use the next digit 2 from dividend 2277 and add 0 to the quotient

$$\begin{array}{l}\phantom{253)}0\phantom{2}\\253\overline{)2277}\\\end{array}$$

Use the 2^{nd} digit 2 from dividend 2277

$$\begin{array}{l}\phantom{253)}0\phantom{3}\\253\overline{)2277}\\\end{array}$$

Since 22 is less than 253, use the next digit 7 from dividend 2277 and add 0 to the quotient

$$\begin{array}{l}\phantom{253)}00\phantom{4}\\253\overline{)2277}\\\end{array}$$

Use the 3^{rd} digit 7 from dividend 2277

$$\begin{array}{l}\phantom{253)}00\phantom{5}\\253\overline{)2277}\\\end{array}$$

Since 227 is less than 253, use the next digit 7 from dividend 2277 and add 0 to the quotient

$$\begin{array}{l}\phantom{253)}000\phantom{6}\\253\overline{)2277}\\\end{array}$$

Use the 4^{th} digit 7 from dividend 2277

$$\begin{array}{l}\phantom{253)}000\phantom{7}\\253\overline{)2277}\\\end{array}$$

Find closest multiple of 253 to 2277. We see that 9 \times 253 = 2277 is the nearest. Now subtract 2277 from 2277 to get reminder 0. Add 9 to quotient.

$$\begin{array}{l}\phantom{253)}0009\phantom{8}\\253\overline{)2277}\\\phantom{253)}\underline{\phantom{}2277\phantom{}}\\\phantom{253)9999}0\\\end{array}$$

Since 0 is less than 253, stop the division. The reminder is 0. The topmost line 0009 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 9.

$$\text{Quotient: }9 \text{Reminder: }0$$

Factor

$$3^{2}$$