Solve 1000:27

$$1000 : 27$$

Evaluate

$$\frac{1000}{27}\approx 37.037037037$$

Steps For Long Division Method

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

$$\begin{array}{l}\phantom{27)}\phantom{1}\\27\overline{)1000}\\\end{array}$$

Since 1 is less than 27, use the next digit 0 from dividend 1000 and add 0 to the quotient

$$\begin{array}{l}\phantom{27)}0\phantom{2}\\27\overline{)1000}\\\end{array}$$

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

$$\begin{array}{l}\phantom{27)}0\phantom{3}\\27\overline{)1000}\\\end{array}$$

Since 10 is less than 27, use the next digit 0 from dividend 1000 and add 0 to the quotient

$$\begin{array}{l}\phantom{27)}00\phantom{4}\\27\overline{)1000}\\\end{array}$$

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

$$\begin{array}{l}\phantom{27)}00\phantom{5}\\27\overline{)1000}\\\end{array}$$

Find closest multiple of 27 to 100. We see that 3 \times 27 = 81 is the nearest. Now subtract 81 from 100 to get reminder 19. Add 3 to quotient.

$$\begin{array}{l}\phantom{27)}003\phantom{6}\\27\overline{)1000}\\\phantom{27)}\underline{\phantom{9}81\phantom{9}}\\\phantom{27)9}19\\\end{array}$$

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

$$\begin{array}{l}\phantom{27)}003\phantom{7}\\27\overline{)1000}\\\phantom{27)}\underline{\phantom{9}81\phantom{9}}\\\phantom{27)9}190\\\end{array}$$

Find closest multiple of 27 to 190. We see that 7 \times 27 = 189 is the nearest. Now subtract 189 from 190 to get reminder 1. Add 7 to quotient.

$$\begin{array}{l}\phantom{27)}0037\phantom{8}\\27\overline{)1000}\\\phantom{27)}\underline{\phantom{9}81\phantom{9}}\\\phantom{27)9}190\\\phantom{27)}\underline{\phantom{9}189\phantom{}}\\\phantom{27)999}1\\\end{array}$$

Since 1 is less than 27, stop the division. The reminder is 1. The topmost line 0037 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 37.

$$\text{Quotient: }37 \text{Reminder: }1$$

Factor

$$\frac{2 ^ {3} \cdot 5 ^ {3}}{3 ^ {3}} = 37\frac{1}{27} = 37.03703703703704$$