Solve 1111/17

$$\frac { 1111 } { 17 }$$

Evaluate

$$\frac{1111}{17}\approx 65.352941176$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1111

$$\begin{array}{l}\phantom{17)}\phantom{1}\\17\overline{)1111}\\\end{array}$$

Since 1 is less than 17, use the next digit 1 from dividend 1111 and add 0 to the quotient

$$\begin{array}{l}\phantom{17)}0\phantom{2}\\17\overline{)1111}\\\end{array}$$

Use the 2^{nd} digit 1 from dividend 1111

$$\begin{array}{l}\phantom{17)}0\phantom{3}\\17\overline{)1111}\\\end{array}$$

Since 11 is less than 17, use the next digit 1 from dividend 1111 and add 0 to the quotient

$$\begin{array}{l}\phantom{17)}00\phantom{4}\\17\overline{)1111}\\\end{array}$$

Use the 3^{rd} digit 1 from dividend 1111

$$\begin{array}{l}\phantom{17)}00\phantom{5}\\17\overline{)1111}\\\end{array}$$

Find closest multiple of 17 to 111. We see that 6 \times 17 = 102 is the nearest. Now subtract 102 from 111 to get reminder 9. Add 6 to quotient.

$$\begin{array}{l}\phantom{17)}006\phantom{6}\\17\overline{)1111}\\\phantom{17)}\underline{\phantom{}102\phantom{9}}\\\phantom{17)99}9\\\end{array}$$

Use the 4^{th} digit 1 from dividend 1111

$$\begin{array}{l}\phantom{17)}006\phantom{7}\\17\overline{)1111}\\\phantom{17)}\underline{\phantom{}102\phantom{9}}\\\phantom{17)99}91\\\end{array}$$

Find closest multiple of 17 to 91. We see that 5 \times 17 = 85 is the nearest. Now subtract 85 from 91 to get reminder 6. Add 5 to quotient.

$$\begin{array}{l}\phantom{17)}0065\phantom{8}\\17\overline{)1111}\\\phantom{17)}\underline{\phantom{}102\phantom{9}}\\\phantom{17)99}91\\\phantom{17)}\underline{\phantom{99}85\phantom{}}\\\phantom{17)999}6\\\end{array}$$

Since 6 is less than 17, stop the division. The reminder is 6. The topmost line 0065 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 65.

$$\text{Quotient: }65 \text{Reminder: }6$$

Factor

$$\frac{11 \cdot 101}{17} = 65\frac{6}{17} = 65.3529411764706$$