Solve 7826/99

$$\frac{ 7826 }{ 99 }$$

Evaluate

$$\frac{7826}{99}\approx 79.050505051$$

Steps For Long Division Method

Use the 1^{st} digit 7 from dividend 7826

$$\begin{array}{l}\phantom{99)}\phantom{1}\\99\overline{)7826}\\\end{array}$$

Since 7 is less than 99, use the next digit 8 from dividend 7826 and add 0 to the quotient

$$\begin{array}{l}\phantom{99)}0\phantom{2}\\99\overline{)7826}\\\end{array}$$

Use the 2^{nd} digit 8 from dividend 7826

$$\begin{array}{l}\phantom{99)}0\phantom{3}\\99\overline{)7826}\\\end{array}$$

Since 78 is less than 99, use the next digit 2 from dividend 7826 and add 0 to the quotient

$$\begin{array}{l}\phantom{99)}00\phantom{4}\\99\overline{)7826}\\\end{array}$$

Use the 3^{rd} digit 2 from dividend 7826

$$\begin{array}{l}\phantom{99)}00\phantom{5}\\99\overline{)7826}\\\end{array}$$

Find closest multiple of 99 to 782. We see that 7 \times 99 = 693 is the nearest. Now subtract 693 from 782 to get reminder 89. Add 7 to quotient.

$$\begin{array}{l}\phantom{99)}007\phantom{6}\\99\overline{)7826}\\\phantom{99)}\underline{\phantom{}693\phantom{9}}\\\phantom{99)9}89\\\end{array}$$

Use the 4^{th} digit 6 from dividend 7826

$$\begin{array}{l}\phantom{99)}007\phantom{7}\\99\overline{)7826}\\\phantom{99)}\underline{\phantom{}693\phantom{9}}\\\phantom{99)9}896\\\end{array}$$

Find closest multiple of 99 to 896. We see that 9 \times 99 = 891 is the nearest. Now subtract 891 from 896 to get reminder 5. Add 9 to quotient.

$$\begin{array}{l}\phantom{99)}0079\phantom{8}\\99\overline{)7826}\\\phantom{99)}\underline{\phantom{}693\phantom{9}}\\\phantom{99)9}896\\\phantom{99)}\underline{\phantom{9}891\phantom{}}\\\phantom{99)999}5\\\end{array}$$

Since 5 is less than 99, stop the division. The reminder is 5. The topmost line 0079 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 79.

$$\text{Quotient: }79 \text{Reminder: }5$$

Factor

$$\frac{2 \cdot 7 \cdot 13 \cdot 43}{3 ^ {2} \cdot 11} = 79\frac{5}{99} = 79.05050505050505$$