Solve 11200div72

$$11200 \div 72$$

Evaluate

$$\frac{1400}{9}\approx 155.555555556$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 11200

$$\begin{array}{l}\phantom{72)}\phantom{1}\\72\overline{)11200}\\\end{array}$$

Since 1 is less than 72, use the next digit 1 from dividend 11200 and add 0 to the quotient

$$\begin{array}{l}\phantom{72)}0\phantom{2}\\72\overline{)11200}\\\end{array}$$

Use the 2^{nd} digit 1 from dividend 11200

$$\begin{array}{l}\phantom{72)}0\phantom{3}\\72\overline{)11200}\\\end{array}$$

Since 11 is less than 72, use the next digit 2 from dividend 11200 and add 0 to the quotient

$$\begin{array}{l}\phantom{72)}00\phantom{4}\\72\overline{)11200}\\\end{array}$$

Use the 3^{rd} digit 2 from dividend 11200

$$\begin{array}{l}\phantom{72)}00\phantom{5}\\72\overline{)11200}\\\end{array}$$

Find closest multiple of 72 to 112. We see that 1 \times 72 = 72 is the nearest. Now subtract 72 from 112 to get reminder 40. Add 1 to quotient.

$$\begin{array}{l}\phantom{72)}001\phantom{6}\\72\overline{)11200}\\\phantom{72)}\underline{\phantom{9}72\phantom{99}}\\\phantom{72)9}40\\\end{array}$$

Use the 4^{th} digit 0 from dividend 11200

$$\begin{array}{l}\phantom{72)}001\phantom{7}\\72\overline{)11200}\\\phantom{72)}\underline{\phantom{9}72\phantom{99}}\\\phantom{72)9}400\\\end{array}$$

Find closest multiple of 72 to 400. We see that 5 \times 72 = 360 is the nearest. Now subtract 360 from 400 to get reminder 40. Add 5 to quotient.

$$\begin{array}{l}\phantom{72)}0015\phantom{8}\\72\overline{)11200}\\\phantom{72)}\underline{\phantom{9}72\phantom{99}}\\\phantom{72)9}400\\\phantom{72)}\underline{\phantom{9}360\phantom{9}}\\\phantom{72)99}40\\\end{array}$$

Use the 5^{th} digit 0 from dividend 11200

$$\begin{array}{l}\phantom{72)}0015\phantom{9}\\72\overline{)11200}\\\phantom{72)}\underline{\phantom{9}72\phantom{99}}\\\phantom{72)9}400\\\phantom{72)}\underline{\phantom{9}360\phantom{9}}\\\phantom{72)99}400\\\end{array}$$

Find closest multiple of 72 to 400. We see that 5 \times 72 = 360 is the nearest. Now subtract 360 from 400 to get reminder 40. Add 5 to quotient.

$$\begin{array}{l}\phantom{72)}00155\phantom{10}\\72\overline{)11200}\\\phantom{72)}\underline{\phantom{9}72\phantom{99}}\\\phantom{72)9}400\\\phantom{72)}\underline{\phantom{9}360\phantom{9}}\\\phantom{72)99}400\\\phantom{72)}\underline{\phantom{99}360\phantom{}}\\\phantom{72)999}40\\\end{array}$$

Since 40 is less than 72, stop the division. The reminder is 40. The topmost line 00155 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 155.

$$\text{Quotient: }155 \text{Reminder: }40$$

Factor

$$\frac{2 ^ {3} \cdot 5 ^ {2} \cdot 7}{3 ^ {2}} = 155\frac{5}{9} = 155.55555555555554$$