Solve 7777/98

$$\frac{ 7777 }{ 98 }$$

Evaluate

$$\frac{1111}{14}\approx 79.357142857$$

Steps For Long Division Method

Use the 1^{st} digit 7 from dividend 7777

$$\begin{array}{l}\phantom{98)}\phantom{1}\\98\overline{)7777}\\\end{array}$$

Since 7 is less than 98, use the next digit 7 from dividend 7777 and add 0 to the quotient

$$\begin{array}{l}\phantom{98)}0\phantom{2}\\98\overline{)7777}\\\end{array}$$

Use the 2^{nd} digit 7 from dividend 7777

$$\begin{array}{l}\phantom{98)}0\phantom{3}\\98\overline{)7777}\\\end{array}$$

Since 77 is less than 98, use the next digit 7 from dividend 7777 and add 0 to the quotient

$$\begin{array}{l}\phantom{98)}00\phantom{4}\\98\overline{)7777}\\\end{array}$$

Use the 3^{rd} digit 7 from dividend 7777

$$\begin{array}{l}\phantom{98)}00\phantom{5}\\98\overline{)7777}\\\end{array}$$

Find closest multiple of 98 to 777. We see that 7 \times 98 = 686 is the nearest. Now subtract 686 from 777 to get reminder 91. Add 7 to quotient.

$$\begin{array}{l}\phantom{98)}007\phantom{6}\\98\overline{)7777}\\\phantom{98)}\underline{\phantom{}686\phantom{9}}\\\phantom{98)9}91\\\end{array}$$

Use the 4^{th} digit 7 from dividend 7777

$$\begin{array}{l}\phantom{98)}007\phantom{7}\\98\overline{)7777}\\\phantom{98)}\underline{\phantom{}686\phantom{9}}\\\phantom{98)9}917\\\end{array}$$

Find closest multiple of 98 to 917. We see that 9 \times 98 = 882 is the nearest. Now subtract 882 from 917 to get reminder 35. Add 9 to quotient.

$$\begin{array}{l}\phantom{98)}0079\phantom{8}\\98\overline{)7777}\\\phantom{98)}\underline{\phantom{}686\phantom{9}}\\\phantom{98)9}917\\\phantom{98)}\underline{\phantom{9}882\phantom{}}\\\phantom{98)99}35\\\end{array}$$

Since 35 is less than 98, stop the division. The reminder is 35. The topmost line 0079 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 79.

$$\text{Quotient: }79 \text{Reminder: }35$$

Factor

$$\frac{11 \cdot 101}{2 \cdot 7} = 79\frac{5}{14} = 79.35714285714286$$