Solve 5800div220

$$5800 \div 220$$

Evaluate

$$\frac{290}{11}\approx 26.363636364$$

Steps For Long Division Method

Use the 1^{st} digit 5 from dividend 5800

$$\begin{array}{l}\phantom{220)}\phantom{1}\\220\overline{)5800}\\\end{array}$$

Since 5 is less than 220, use the next digit 8 from dividend 5800 and add 0 to the quotient

$$\begin{array}{l}\phantom{220)}0\phantom{2}\\220\overline{)5800}\\\end{array}$$

Use the 2^{nd} digit 8 from dividend 5800

$$\begin{array}{l}\phantom{220)}0\phantom{3}\\220\overline{)5800}\\\end{array}$$

Since 58 is less than 220, use the next digit 0 from dividend 5800 and add 0 to the quotient

$$\begin{array}{l}\phantom{220)}00\phantom{4}\\220\overline{)5800}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 5800

$$\begin{array}{l}\phantom{220)}00\phantom{5}\\220\overline{)5800}\\\end{array}$$

Find closest multiple of 220 to 580. We see that 2 \times 220 = 440 is the nearest. Now subtract 440 from 580 to get reminder 140. Add 2 to quotient.

$$\begin{array}{l}\phantom{220)}002\phantom{6}\\220\overline{)5800}\\\phantom{220)}\underline{\phantom{}440\phantom{9}}\\\phantom{220)}140\\\end{array}$$

Use the 4^{th} digit 0 from dividend 5800

$$\begin{array}{l}\phantom{220)}002\phantom{7}\\220\overline{)5800}\\\phantom{220)}\underline{\phantom{}440\phantom{9}}\\\phantom{220)}1400\\\end{array}$$

Find closest multiple of 220 to 1400. We see that 6 \times 220 = 1320 is the nearest. Now subtract 1320 from 1400 to get reminder 80. Add 6 to quotient.

$$\begin{array}{l}\phantom{220)}0026\phantom{8}\\220\overline{)5800}\\\phantom{220)}\underline{\phantom{}440\phantom{9}}\\\phantom{220)}1400\\\phantom{220)}\underline{\phantom{}1320\phantom{}}\\\phantom{220)99}80\\\end{array}$$

Since 80 is less than 220, stop the division. The reminder is 80. The topmost line 0026 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 26.

$$\text{Quotient: }26 \text{Reminder: }80$$

Factor

$$\frac{2 \cdot 5 \cdot 29}{11} = 26\frac{4}{11} = 26.363636363636363$$