Solve 1050/11

$$\frac { 1050 } { 11 }$$

Evaluate

$$\frac{1050}{11}\approx 95.454545455$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1050

$$\begin{array}{l}\phantom{11)}\phantom{1}\\11\overline{)1050}\\\end{array}$$

Since 1 is less than 11, use the next digit 0 from dividend 1050 and add 0 to the quotient

$$\begin{array}{l}\phantom{11)}0\phantom{2}\\11\overline{)1050}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 1050

$$\begin{array}{l}\phantom{11)}0\phantom{3}\\11\overline{)1050}\\\end{array}$$

Since 10 is less than 11, use the next digit 5 from dividend 1050 and add 0 to the quotient

$$\begin{array}{l}\phantom{11)}00\phantom{4}\\11\overline{)1050}\\\end{array}$$

Use the 3^{rd} digit 5 from dividend 1050

$$\begin{array}{l}\phantom{11)}00\phantom{5}\\11\overline{)1050}\\\end{array}$$

Find closest multiple of 11 to 105. We see that 9 \times 11 = 99 is the nearest. Now subtract 99 from 105 to get reminder 6. Add 9 to quotient.

$$\begin{array}{l}\phantom{11)}009\phantom{6}\\11\overline{)1050}\\\phantom{11)}\underline{\phantom{9}99\phantom{9}}\\\phantom{11)99}6\\\end{array}$$

Use the 4^{th} digit 0 from dividend 1050

$$\begin{array}{l}\phantom{11)}009\phantom{7}\\11\overline{)1050}\\\phantom{11)}\underline{\phantom{9}99\phantom{9}}\\\phantom{11)99}60\\\end{array}$$

Find closest multiple of 11 to 60. We see that 5 \times 11 = 55 is the nearest. Now subtract 55 from 60 to get reminder 5. Add 5 to quotient.

$$\begin{array}{l}\phantom{11)}0095\phantom{8}\\11\overline{)1050}\\\phantom{11)}\underline{\phantom{9}99\phantom{9}}\\\phantom{11)99}60\\\phantom{11)}\underline{\phantom{99}55\phantom{}}\\\phantom{11)999}5\\\end{array}$$

Since 5 is less than 11, stop the division. The reminder is 5. The topmost line 0095 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 95.

$$\text{Quotient: }95 \text{Reminder: }5$$

Factor

$$\frac{2 \cdot 3 \cdot 5 ^ {2} \cdot 7}{11} = 95\frac{5}{11} = 95.45454545454545$$