Solve 5218:100

$$5218 : 100$$

Evaluate

$$\frac{2609}{50}=52.18$$

Steps For Long Division Method

Use the 1^{st} digit 5 from dividend 5218

$$\begin{array}{l}\phantom{100)}\phantom{1}\\100\overline{)5218}\\\end{array}$$

Since 5 is less than 100, use the next digit 2 from dividend 5218 and add 0 to the quotient

$$\begin{array}{l}\phantom{100)}0\phantom{2}\\100\overline{)5218}\\\end{array}$$

Use the 2^{nd} digit 2 from dividend 5218

$$\begin{array}{l}\phantom{100)}0\phantom{3}\\100\overline{)5218}\\\end{array}$$

Since 52 is less than 100, use the next digit 1 from dividend 5218 and add 0 to the quotient

$$\begin{array}{l}\phantom{100)}00\phantom{4}\\100\overline{)5218}\\\end{array}$$

Use the 3^{rd} digit 1 from dividend 5218

$$\begin{array}{l}\phantom{100)}00\phantom{5}\\100\overline{)5218}\\\end{array}$$

Find closest multiple of 100 to 521. We see that 5 \times 100 = 500 is the nearest. Now subtract 500 from 521 to get reminder 21. Add 5 to quotient.

$$\begin{array}{l}\phantom{100)}005\phantom{6}\\100\overline{)5218}\\\phantom{100)}\underline{\phantom{}500\phantom{9}}\\\phantom{100)9}21\\\end{array}$$

Use the 4^{th} digit 8 from dividend 5218

$$\begin{array}{l}\phantom{100)}005\phantom{7}\\100\overline{)5218}\\\phantom{100)}\underline{\phantom{}500\phantom{9}}\\\phantom{100)9}218\\\end{array}$$

Find closest multiple of 100 to 218. We see that 2 \times 100 = 200 is the nearest. Now subtract 200 from 218 to get reminder 18. Add 2 to quotient.

$$\begin{array}{l}\phantom{100)}0052\phantom{8}\\100\overline{)5218}\\\phantom{100)}\underline{\phantom{}500\phantom{9}}\\\phantom{100)9}218\\\phantom{100)}\underline{\phantom{9}200\phantom{}}\\\phantom{100)99}18\\\end{array}$$

Since 18 is less than 100, stop the division. The reminder is 18. The topmost line 0052 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 52.

$$\text{Quotient: }52 \text{Reminder: }18$$

Factor

$$\frac{2609}{2 \cdot 5 ^ {2}} = 52\frac{9}{50} = 52.18$$