Solve 5490div21=

$$5490 \div 21 =$$

Evaluate

$$\frac{1830}{7}\approx 261.428571429$$

Steps For Long Division Method

Use the 1^{st} digit 5 from dividend 5490

$$\begin{array}{l}\phantom{21)}\phantom{1}\\21\overline{)5490}\\\end{array}$$

Since 5 is less than 21, use the next digit 4 from dividend 5490 and add 0 to the quotient

$$\begin{array}{l}\phantom{21)}0\phantom{2}\\21\overline{)5490}\\\end{array}$$

Use the 2^{nd} digit 4 from dividend 5490

$$\begin{array}{l}\phantom{21)}0\phantom{3}\\21\overline{)5490}\\\end{array}$$

Find closest multiple of 21 to 54. We see that 2 \times 21 = 42 is the nearest. Now subtract 42 from 54 to get reminder 12. Add 2 to quotient.

$$\begin{array}{l}\phantom{21)}02\phantom{4}\\21\overline{)5490}\\\phantom{21)}\underline{\phantom{}42\phantom{99}}\\\phantom{21)}12\\\end{array}$$

Use the 3^{rd} digit 9 from dividend 5490

$$\begin{array}{l}\phantom{21)}02\phantom{5}\\21\overline{)5490}\\\phantom{21)}\underline{\phantom{}42\phantom{99}}\\\phantom{21)}129\\\end{array}$$

Find closest multiple of 21 to 129. We see that 6 \times 21 = 126 is the nearest. Now subtract 126 from 129 to get reminder 3. Add 6 to quotient.

$$\begin{array}{l}\phantom{21)}026\phantom{6}\\21\overline{)5490}\\\phantom{21)}\underline{\phantom{}42\phantom{99}}\\\phantom{21)}129\\\phantom{21)}\underline{\phantom{}126\phantom{9}}\\\phantom{21)99}3\\\end{array}$$

Use the 4^{th} digit 0 from dividend 5490

$$\begin{array}{l}\phantom{21)}026\phantom{7}\\21\overline{)5490}\\\phantom{21)}\underline{\phantom{}42\phantom{99}}\\\phantom{21)}129\\\phantom{21)}\underline{\phantom{}126\phantom{9}}\\\phantom{21)99}30\\\end{array}$$

Find closest multiple of 21 to 30. We see that 1 \times 21 = 21 is the nearest. Now subtract 21 from 30 to get reminder 9. Add 1 to quotient.

$$\begin{array}{l}\phantom{21)}0261\phantom{8}\\21\overline{)5490}\\\phantom{21)}\underline{\phantom{}42\phantom{99}}\\\phantom{21)}129\\\phantom{21)}\underline{\phantom{}126\phantom{9}}\\\phantom{21)99}30\\\phantom{21)}\underline{\phantom{99}21\phantom{}}\\\phantom{21)999}9\\\end{array}$$

Since 9 is less than 21, stop the division. The reminder is 9. The topmost line 0261 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 261.

$$\text{Quotient: }261 \text{Reminder: }9$$

Factor

$$\frac{2 \cdot 3 \cdot 5 \cdot 61}{7} = 261\frac{3}{7} = 261.42857142857144$$