Solve 1242/450

$$\frac{ 1242 }{ 450 }$$

Evaluate

$$\frac{69}{25}=2.76$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1242

$$\begin{array}{l}\phantom{450)}\phantom{1}\\450\overline{)1242}\\\end{array}$$

Since 1 is less than 450, use the next digit 2 from dividend 1242 and add 0 to the quotient

$$\begin{array}{l}\phantom{450)}0\phantom{2}\\450\overline{)1242}\\\end{array}$$

Use the 2^{nd} digit 2 from dividend 1242

$$\begin{array}{l}\phantom{450)}0\phantom{3}\\450\overline{)1242}\\\end{array}$$

Since 12 is less than 450, use the next digit 4 from dividend 1242 and add 0 to the quotient

$$\begin{array}{l}\phantom{450)}00\phantom{4}\\450\overline{)1242}\\\end{array}$$

Use the 3^{rd} digit 4 from dividend 1242

$$\begin{array}{l}\phantom{450)}00\phantom{5}\\450\overline{)1242}\\\end{array}$$

Since 124 is less than 450, use the next digit 2 from dividend 1242 and add 0 to the quotient

$$\begin{array}{l}\phantom{450)}000\phantom{6}\\450\overline{)1242}\\\end{array}$$

Use the 4^{th} digit 2 from dividend 1242

$$\begin{array}{l}\phantom{450)}000\phantom{7}\\450\overline{)1242}\\\end{array}$$

Find closest multiple of 450 to 1242. We see that 2 \times 450 = 900 is the nearest. Now subtract 900 from 1242 to get reminder 342. Add 2 to quotient.

$$\begin{array}{l}\phantom{450)}0002\phantom{8}\\450\overline{)1242}\\\phantom{450)}\underline{\phantom{9}900\phantom{}}\\\phantom{450)9}342\\\end{array}$$

Since 342 is less than 450, stop the division. The reminder is 342. The topmost line 0002 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 2.

$$\text{Quotient: }2 \text{Reminder: }342$$

Factor

$$\frac{3 \cdot 23}{5 ^ {2}} = 2\frac{19}{25} = 2.76$$