Solve 1000/75

$$\frac{ 1000 }{ 75 }$$

Evaluate

$$\frac{40}{3}\approx 13.333333333$$

Steps For Long Division Method

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

$$\begin{array}{l}\phantom{75)}\phantom{1}\\75\overline{)1000}\\\end{array}$$

Since 1 is less than 75, use the next digit 0 from dividend 1000 and add 0 to the quotient

$$\begin{array}{l}\phantom{75)}0\phantom{2}\\75\overline{)1000}\\\end{array}$$

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

$$\begin{array}{l}\phantom{75)}0\phantom{3}\\75\overline{)1000}\\\end{array}$$

Since 10 is less than 75, use the next digit 0 from dividend 1000 and add 0 to the quotient

$$\begin{array}{l}\phantom{75)}00\phantom{4}\\75\overline{)1000}\\\end{array}$$

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

$$\begin{array}{l}\phantom{75)}00\phantom{5}\\75\overline{)1000}\\\end{array}$$

Find closest multiple of 75 to 100. We see that 1 \times 75 = 75 is the nearest. Now subtract 75 from 100 to get reminder 25. Add 1 to quotient.

$$\begin{array}{l}\phantom{75)}001\phantom{6}\\75\overline{)1000}\\\phantom{75)}\underline{\phantom{9}75\phantom{9}}\\\phantom{75)9}25\\\end{array}$$

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

$$\begin{array}{l}\phantom{75)}001\phantom{7}\\75\overline{)1000}\\\phantom{75)}\underline{\phantom{9}75\phantom{9}}\\\phantom{75)9}250\\\end{array}$$

Find closest multiple of 75 to 250. We see that 3 \times 75 = 225 is the nearest. Now subtract 225 from 250 to get reminder 25. Add 3 to quotient.

$$\begin{array}{l}\phantom{75)}0013\phantom{8}\\75\overline{)1000}\\\phantom{75)}\underline{\phantom{9}75\phantom{9}}\\\phantom{75)9}250\\\phantom{75)}\underline{\phantom{9}225\phantom{}}\\\phantom{75)99}25\\\end{array}$$

Since 25 is less than 75, stop the division. The reminder is 25. The topmost line 0013 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 13.

$$\text{Quotient: }13 \text{Reminder: }25$$

Factor

$$\frac{2 ^ {3} \cdot 5}{3} = 13\frac{1}{3} = 13.333333333333334$$