Solve 1513/450

$$\frac { 1513 } { 450 }$$

Evaluate

$$\frac{1513}{450}\approx 3.362222222$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1513

$$\begin{array}{l}\phantom{450)}\phantom{1}\\450\overline{)1513}\\\end{array}$$

Since 1 is less than 450, use the next digit 5 from dividend 1513 and add 0 to the quotient

$$\begin{array}{l}\phantom{450)}0\phantom{2}\\450\overline{)1513}\\\end{array}$$

Use the 2^{nd} digit 5 from dividend 1513

$$\begin{array}{l}\phantom{450)}0\phantom{3}\\450\overline{)1513}\\\end{array}$$

Since 15 is less than 450, use the next digit 1 from dividend 1513 and add 0 to the quotient

$$\begin{array}{l}\phantom{450)}00\phantom{4}\\450\overline{)1513}\\\end{array}$$

Use the 3^{rd} digit 1 from dividend 1513

$$\begin{array}{l}\phantom{450)}00\phantom{5}\\450\overline{)1513}\\\end{array}$$

Since 151 is less than 450, use the next digit 3 from dividend 1513 and add 0 to the quotient

$$\begin{array}{l}\phantom{450)}000\phantom{6}\\450\overline{)1513}\\\end{array}$$

Use the 4^{th} digit 3 from dividend 1513

$$\begin{array}{l}\phantom{450)}000\phantom{7}\\450\overline{)1513}\\\end{array}$$

Find closest multiple of 450 to 1513. We see that 3 \times 450 = 1350 is the nearest. Now subtract 1350 from 1513 to get reminder 163. Add 3 to quotient.

$$\begin{array}{l}\phantom{450)}0003\phantom{8}\\450\overline{)1513}\\\phantom{450)}\underline{\phantom{}1350\phantom{}}\\\phantom{450)9}163\\\end{array}$$

Since 163 is less than 450, stop the division. The reminder is 163. The topmost line 0003 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 3.

$$\text{Quotient: }3 \text{Reminder: }163$$

Factor

$$\frac{17 \cdot 89}{2 \cdot 3 ^ {2} \cdot 5 ^ {2}} = 3\frac{163}{450} = 3.362222222222222$$