Solve 11000div126

$$11000 \div 126$$

Evaluate

$$\frac{5500}{63}\approx 87.301587302$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 11000

$$\begin{array}{l}\phantom{126)}\phantom{1}\\126\overline{)11000}\\\end{array}$$

Since 1 is less than 126, use the next digit 1 from dividend 11000 and add 0 to the quotient

$$\begin{array}{l}\phantom{126)}0\phantom{2}\\126\overline{)11000}\\\end{array}$$

Use the 2^{nd} digit 1 from dividend 11000

$$\begin{array}{l}\phantom{126)}0\phantom{3}\\126\overline{)11000}\\\end{array}$$

Since 11 is less than 126, use the next digit 0 from dividend 11000 and add 0 to the quotient

$$\begin{array}{l}\phantom{126)}00\phantom{4}\\126\overline{)11000}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 11000

$$\begin{array}{l}\phantom{126)}00\phantom{5}\\126\overline{)11000}\\\end{array}$$

Since 110 is less than 126, use the next digit 0 from dividend 11000 and add 0 to the quotient

$$\begin{array}{l}\phantom{126)}000\phantom{6}\\126\overline{)11000}\\\end{array}$$

Use the 4^{th} digit 0 from dividend 11000

$$\begin{array}{l}\phantom{126)}000\phantom{7}\\126\overline{)11000}\\\end{array}$$

Find closest multiple of 126 to 1100. We see that 8 \times 126 = 1008 is the nearest. Now subtract 1008 from 1100 to get reminder 92. Add 8 to quotient.

$$\begin{array}{l}\phantom{126)}0008\phantom{8}\\126\overline{)11000}\\\phantom{126)}\underline{\phantom{}1008\phantom{9}}\\\phantom{126)99}92\\\end{array}$$

Use the 5^{th} digit 0 from dividend 11000

$$\begin{array}{l}\phantom{126)}0008\phantom{9}\\126\overline{)11000}\\\phantom{126)}\underline{\phantom{}1008\phantom{9}}\\\phantom{126)99}920\\\end{array}$$

Find closest multiple of 126 to 920. We see that 7 \times 126 = 882 is the nearest. Now subtract 882 from 920 to get reminder 38. Add 7 to quotient.

$$\begin{array}{l}\phantom{126)}00087\phantom{10}\\126\overline{)11000}\\\phantom{126)}\underline{\phantom{}1008\phantom{9}}\\\phantom{126)99}920\\\phantom{126)}\underline{\phantom{99}882\phantom{}}\\\phantom{126)999}38\\\end{array}$$

Since 38 is less than 126, stop the division. The reminder is 38. The topmost line 00087 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 87.

$$\text{Quotient: }87 \text{Reminder: }38$$

Factor

$$\frac{2 ^ {2} \cdot 5 ^ {3} \cdot 11}{3 ^ {2} \cdot 7} = 87\frac{19}{63} = 87.3015873015873$$