Solve 10500div72

$$10500 \div 72$$

Evaluate

$$\frac{875}{6}\approx 145.833333333$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 10500

$$\begin{array}{l}\phantom{72)}\phantom{1}\\72\overline{)10500}\\\end{array}$$

Since 1 is less than 72, use the next digit 0 from dividend 10500 and add 0 to the quotient

$$\begin{array}{l}\phantom{72)}0\phantom{2}\\72\overline{)10500}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 10500

$$\begin{array}{l}\phantom{72)}0\phantom{3}\\72\overline{)10500}\\\end{array}$$

Since 10 is less than 72, use the next digit 5 from dividend 10500 and add 0 to the quotient

$$\begin{array}{l}\phantom{72)}00\phantom{4}\\72\overline{)10500}\\\end{array}$$

Use the 3^{rd} digit 5 from dividend 10500

$$\begin{array}{l}\phantom{72)}00\phantom{5}\\72\overline{)10500}\\\end{array}$$

Find closest multiple of 72 to 105. We see that 1 \times 72 = 72 is the nearest. Now subtract 72 from 105 to get reminder 33. Add 1 to quotient.

$$\begin{array}{l}\phantom{72)}001\phantom{6}\\72\overline{)10500}\\\phantom{72)}\underline{\phantom{9}72\phantom{99}}\\\phantom{72)9}33\\\end{array}$$

Use the 4^{th} digit 0 from dividend 10500

$$\begin{array}{l}\phantom{72)}001\phantom{7}\\72\overline{)10500}\\\phantom{72)}\underline{\phantom{9}72\phantom{99}}\\\phantom{72)9}330\\\end{array}$$

Find closest multiple of 72 to 330. We see that 4 \times 72 = 288 is the nearest. Now subtract 288 from 330 to get reminder 42. Add 4 to quotient.

$$\begin{array}{l}\phantom{72)}0014\phantom{8}\\72\overline{)10500}\\\phantom{72)}\underline{\phantom{9}72\phantom{99}}\\\phantom{72)9}330\\\phantom{72)}\underline{\phantom{9}288\phantom{9}}\\\phantom{72)99}42\\\end{array}$$

Use the 5^{th} digit 0 from dividend 10500

$$\begin{array}{l}\phantom{72)}0014\phantom{9}\\72\overline{)10500}\\\phantom{72)}\underline{\phantom{9}72\phantom{99}}\\\phantom{72)9}330\\\phantom{72)}\underline{\phantom{9}288\phantom{9}}\\\phantom{72)99}420\\\end{array}$$

Find closest multiple of 72 to 420. We see that 5 \times 72 = 360 is the nearest. Now subtract 360 from 420 to get reminder 60. Add 5 to quotient.

$$\begin{array}{l}\phantom{72)}00145\phantom{10}\\72\overline{)10500}\\\phantom{72)}\underline{\phantom{9}72\phantom{99}}\\\phantom{72)9}330\\\phantom{72)}\underline{\phantom{9}288\phantom{9}}\\\phantom{72)99}420\\\phantom{72)}\underline{\phantom{99}360\phantom{}}\\\phantom{72)999}60\\\end{array}$$

Since 60 is less than 72, stop the division. The reminder is 60. The topmost line 00145 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 145.

$$\text{Quotient: }145 \text{Reminder: }60$$

Factor

$$\frac{5 ^ {3} \cdot 7}{2 \cdot 3} = 145\frac{5}{6} = 145.83333333333334$$