Solve 1027:11

$$1027 : 11$$

Evaluate

$$\frac{1027}{11}\approx 93.363636364$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1027

$$\begin{array}{l}\phantom{11)}\phantom{1}\\11\overline{)1027}\\\end{array}$$

Since 1 is less than 11, use the next digit 0 from dividend 1027 and add 0 to the quotient

$$\begin{array}{l}\phantom{11)}0\phantom{2}\\11\overline{)1027}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 1027

$$\begin{array}{l}\phantom{11)}0\phantom{3}\\11\overline{)1027}\\\end{array}$$

Since 10 is less than 11, use the next digit 2 from dividend 1027 and add 0 to the quotient

$$\begin{array}{l}\phantom{11)}00\phantom{4}\\11\overline{)1027}\\\end{array}$$

Use the 3^{rd} digit 2 from dividend 1027

$$\begin{array}{l}\phantom{11)}00\phantom{5}\\11\overline{)1027}\\\end{array}$$

Find closest multiple of 11 to 102. We see that 9 \times 11 = 99 is the nearest. Now subtract 99 from 102 to get reminder 3. Add 9 to quotient.

$$\begin{array}{l}\phantom{11)}009\phantom{6}\\11\overline{)1027}\\\phantom{11)}\underline{\phantom{9}99\phantom{9}}\\\phantom{11)99}3\\\end{array}$$

Use the 4^{th} digit 7 from dividend 1027

$$\begin{array}{l}\phantom{11)}009\phantom{7}\\11\overline{)1027}\\\phantom{11)}\underline{\phantom{9}99\phantom{9}}\\\phantom{11)99}37\\\end{array}$$

Find closest multiple of 11 to 37. We see that 3 \times 11 = 33 is the nearest. Now subtract 33 from 37 to get reminder 4. Add 3 to quotient.

$$\begin{array}{l}\phantom{11)}0093\phantom{8}\\11\overline{)1027}\\\phantom{11)}\underline{\phantom{9}99\phantom{9}}\\\phantom{11)99}37\\\phantom{11)}\underline{\phantom{99}33\phantom{}}\\\phantom{11)999}4\\\end{array}$$

Since 4 is less than 11, stop the division. The reminder is 4. The topmost line 0093 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 93.

$$\text{Quotient: }93 \text{Reminder: }4$$

Factor

$$\frac{13 \cdot 79}{11} = 93\frac{4}{11} = 93.36363636363636$$