Solve 5274:245

$$5274 : 245$$

Evaluate

$$\frac{5274}{245}\approx 21.526530612$$

Steps For Long Division Method

Use the 1^{st} digit 5 from dividend 5274

$$\begin{array}{l}\phantom{245)}\phantom{1}\\245\overline{)5274}\\\end{array}$$

Since 5 is less than 245, use the next digit 2 from dividend 5274 and add 0 to the quotient

$$\begin{array}{l}\phantom{245)}0\phantom{2}\\245\overline{)5274}\\\end{array}$$

Use the 2^{nd} digit 2 from dividend 5274

$$\begin{array}{l}\phantom{245)}0\phantom{3}\\245\overline{)5274}\\\end{array}$$

Since 52 is less than 245, use the next digit 7 from dividend 5274 and add 0 to the quotient

$$\begin{array}{l}\phantom{245)}00\phantom{4}\\245\overline{)5274}\\\end{array}$$

Use the 3^{rd} digit 7 from dividend 5274

$$\begin{array}{l}\phantom{245)}00\phantom{5}\\245\overline{)5274}\\\end{array}$$

Find closest multiple of 245 to 527. We see that 2 \times 245 = 490 is the nearest. Now subtract 490 from 527 to get reminder 37. Add 2 to quotient.

$$\begin{array}{l}\phantom{245)}002\phantom{6}\\245\overline{)5274}\\\phantom{245)}\underline{\phantom{}490\phantom{9}}\\\phantom{245)9}37\\\end{array}$$

Use the 4^{th} digit 4 from dividend 5274

$$\begin{array}{l}\phantom{245)}002\phantom{7}\\245\overline{)5274}\\\phantom{245)}\underline{\phantom{}490\phantom{9}}\\\phantom{245)9}374\\\end{array}$$

Find closest multiple of 245 to 374. We see that 1 \times 245 = 245 is the nearest. Now subtract 245 from 374 to get reminder 129. Add 1 to quotient.

$$\begin{array}{l}\phantom{245)}0021\phantom{8}\\245\overline{)5274}\\\phantom{245)}\underline{\phantom{}490\phantom{9}}\\\phantom{245)9}374\\\phantom{245)}\underline{\phantom{9}245\phantom{}}\\\phantom{245)9}129\\\end{array}$$

Since 129 is less than 245, stop the division. The reminder is 129. The topmost line 0021 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 21.

$$\text{Quotient: }21 \text{Reminder: }129$$

Factor

$$\frac{2 \cdot 3 ^ {2} \cdot 293}{5 \cdot 7 ^ {2}} = 21\frac{129}{245} = 21.526530612244898$$