Solve 1000div72

$$1000 \div 72$$

Evaluate

$$\frac{125}{9}\approx 13.888888889$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1000

$$\begin{array}{l}\phantom{72)}\phantom{1}\\72\overline{)1000}\\\end{array}$$

Since 1 is less than 72, use the next digit 0 from dividend 1000 and add 0 to the quotient

$$\begin{array}{l}\phantom{72)}0\phantom{2}\\72\overline{)1000}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 1000

$$\begin{array}{l}\phantom{72)}0\phantom{3}\\72\overline{)1000}\\\end{array}$$

Since 10 is less than 72, use the next digit 0 from dividend 1000 and add 0 to the quotient

$$\begin{array}{l}\phantom{72)}00\phantom{4}\\72\overline{)1000}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 1000

$$\begin{array}{l}\phantom{72)}00\phantom{5}\\72\overline{)1000}\\\end{array}$$

Find closest multiple of 72 to 100. We see that 1 \times 72 = 72 is the nearest. Now subtract 72 from 100 to get reminder 28. Add 1 to quotient.

$$\begin{array}{l}\phantom{72)}001\phantom{6}\\72\overline{)1000}\\\phantom{72)}\underline{\phantom{9}72\phantom{9}}\\\phantom{72)9}28\\\end{array}$$

Use the 4^{th} digit 0 from dividend 1000

$$\begin{array}{l}\phantom{72)}001\phantom{7}\\72\overline{)1000}\\\phantom{72)}\underline{\phantom{9}72\phantom{9}}\\\phantom{72)9}280\\\end{array}$$

Find closest multiple of 72 to 280. We see that 3 \times 72 = 216 is the nearest. Now subtract 216 from 280 to get reminder 64. Add 3 to quotient.

$$\begin{array}{l}\phantom{72)}0013\phantom{8}\\72\overline{)1000}\\\phantom{72)}\underline{\phantom{9}72\phantom{9}}\\\phantom{72)9}280\\\phantom{72)}\underline{\phantom{9}216\phantom{}}\\\phantom{72)99}64\\\end{array}$$

Since 64 is less than 72, stop the division. The reminder is 64. The topmost line 0013 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 13.

$$\text{Quotient: }13 \text{Reminder: }64$$

Factor

$$\frac{5 ^ {3}}{3 ^ {2}} = 13\frac{8}{9} = 13.88888888888889$$