Solve 7000div400

$$7000 \div 400$$

Evaluate

$$\frac{35}{2}=17.5$$

Steps For Long Division Method

Use the 1^{st} digit 7 from dividend 7000

$$\begin{array}{l}\phantom{400)}\phantom{1}\\400\overline{)7000}\\\end{array}$$

Since 7 is less than 400, use the next digit 0 from dividend 7000 and add 0 to the quotient

$$\begin{array}{l}\phantom{400)}0\phantom{2}\\400\overline{)7000}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 7000

$$\begin{array}{l}\phantom{400)}0\phantom{3}\\400\overline{)7000}\\\end{array}$$

Since 70 is less than 400, use the next digit 0 from dividend 7000 and add 0 to the quotient

$$\begin{array}{l}\phantom{400)}00\phantom{4}\\400\overline{)7000}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 7000

$$\begin{array}{l}\phantom{400)}00\phantom{5}\\400\overline{)7000}\\\end{array}$$

Find closest multiple of 400 to 700. We see that 1 \times 400 = 400 is the nearest. Now subtract 400 from 700 to get reminder 300. Add 1 to quotient.

$$\begin{array}{l}\phantom{400)}001\phantom{6}\\400\overline{)7000}\\\phantom{400)}\underline{\phantom{}400\phantom{9}}\\\phantom{400)}300\\\end{array}$$

Use the 4^{th} digit 0 from dividend 7000

$$\begin{array}{l}\phantom{400)}001\phantom{7}\\400\overline{)7000}\\\phantom{400)}\underline{\phantom{}400\phantom{9}}\\\phantom{400)}3000\\\end{array}$$

Find closest multiple of 400 to 3000. We see that 7 \times 400 = 2800 is the nearest. Now subtract 2800 from 3000 to get reminder 200. Add 7 to quotient.

$$\begin{array}{l}\phantom{400)}0017\phantom{8}\\400\overline{)7000}\\\phantom{400)}\underline{\phantom{}400\phantom{9}}\\\phantom{400)}3000\\\phantom{400)}\underline{\phantom{}2800\phantom{}}\\\phantom{400)9}200\\\end{array}$$

Since 200 is less than 400, stop the division. The reminder is 200. The topmost line 0017 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 17.

$$\text{Quotient: }17 \text{Reminder: }200$$

Factor

$$\frac{5 \cdot 7}{2} = 17\frac{1}{2} = 17.5$$