Solve 5212/225

$$\frac{ 5212 }{ 225 }$$

Evaluate

$$\frac{5212}{225}\approx 23.164444444$$

Steps For Long Division Method

Use the 1^{st} digit 5 from dividend 5212

$$\begin{array}{l}\phantom{225)}\phantom{1}\\225\overline{)5212}\\\end{array}$$

Since 5 is less than 225, use the next digit 2 from dividend 5212 and add 0 to the quotient

$$\begin{array}{l}\phantom{225)}0\phantom{2}\\225\overline{)5212}\\\end{array}$$

Use the 2^{nd} digit 2 from dividend 5212

$$\begin{array}{l}\phantom{225)}0\phantom{3}\\225\overline{)5212}\\\end{array}$$

Since 52 is less than 225, use the next digit 1 from dividend 5212 and add 0 to the quotient

$$\begin{array}{l}\phantom{225)}00\phantom{4}\\225\overline{)5212}\\\end{array}$$

Use the 3^{rd} digit 1 from dividend 5212

$$\begin{array}{l}\phantom{225)}00\phantom{5}\\225\overline{)5212}\\\end{array}$$

Find closest multiple of 225 to 521. We see that 2 \times 225 = 450 is the nearest. Now subtract 450 from 521 to get reminder 71. Add 2 to quotient.

$$\begin{array}{l}\phantom{225)}002\phantom{6}\\225\overline{)5212}\\\phantom{225)}\underline{\phantom{}450\phantom{9}}\\\phantom{225)9}71\\\end{array}$$

Use the 4^{th} digit 2 from dividend 5212

$$\begin{array}{l}\phantom{225)}002\phantom{7}\\225\overline{)5212}\\\phantom{225)}\underline{\phantom{}450\phantom{9}}\\\phantom{225)9}712\\\end{array}$$

Find closest multiple of 225 to 712. We see that 3 \times 225 = 675 is the nearest. Now subtract 675 from 712 to get reminder 37. Add 3 to quotient.

$$\begin{array}{l}\phantom{225)}0023\phantom{8}\\225\overline{)5212}\\\phantom{225)}\underline{\phantom{}450\phantom{9}}\\\phantom{225)9}712\\\phantom{225)}\underline{\phantom{9}675\phantom{}}\\\phantom{225)99}37\\\end{array}$$

Since 37 is less than 225, stop the division. The reminder is 37. The topmost line 0023 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 23.

$$\text{Quotient: }23 \text{Reminder: }37$$

Factor

$$\frac{2 ^ {2} \cdot 1303}{3 ^ {2} \cdot 5 ^ {2}} = 23\frac{37}{225} = 23.164444444444445$$