Solve 1000div28

$$1000 \div 28$$

Evaluate

$$\frac{250}{7}\approx 35.714285714$$

Steps For Long Division Method

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

$$\begin{array}{l}\phantom{28)}\phantom{1}\\28\overline{)1000}\\\end{array}$$

Since 1 is less than 28, use the next digit 0 from dividend 1000 and add 0 to the quotient

$$\begin{array}{l}\phantom{28)}0\phantom{2}\\28\overline{)1000}\\\end{array}$$

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

$$\begin{array}{l}\phantom{28)}0\phantom{3}\\28\overline{)1000}\\\end{array}$$

Since 10 is less than 28, use the next digit 0 from dividend 1000 and add 0 to the quotient

$$\begin{array}{l}\phantom{28)}00\phantom{4}\\28\overline{)1000}\\\end{array}$$

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

$$\begin{array}{l}\phantom{28)}00\phantom{5}\\28\overline{)1000}\\\end{array}$$

Find closest multiple of 28 to 100. We see that 3 \times 28 = 84 is the nearest. Now subtract 84 from 100 to get reminder 16. Add 3 to quotient.

$$\begin{array}{l}\phantom{28)}003\phantom{6}\\28\overline{)1000}\\\phantom{28)}\underline{\phantom{9}84\phantom{9}}\\\phantom{28)9}16\\\end{array}$$

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

$$\begin{array}{l}\phantom{28)}003\phantom{7}\\28\overline{)1000}\\\phantom{28)}\underline{\phantom{9}84\phantom{9}}\\\phantom{28)9}160\\\end{array}$$

Find closest multiple of 28 to 160. We see that 5 \times 28 = 140 is the nearest. Now subtract 140 from 160 to get reminder 20. Add 5 to quotient.

$$\begin{array}{l}\phantom{28)}0035\phantom{8}\\28\overline{)1000}\\\phantom{28)}\underline{\phantom{9}84\phantom{9}}\\\phantom{28)9}160\\\phantom{28)}\underline{\phantom{9}140\phantom{}}\\\phantom{28)99}20\\\end{array}$$

Since 20 is less than 28, stop the division. The reminder is 20. The topmost line 0035 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 35.

$$\text{Quotient: }35 \text{Reminder: }20$$

Factor

$$\frac{2 \cdot 5 ^ {3}}{7} = 35\frac{5}{7} = 35.714285714285715$$