Solve 43000div2400

$$43000 \div 2400$$

Evaluate

$$\frac{215}{12}\approx 17.916666667$$

Steps For Long Division Method

Use the 1^{st} digit 4 from dividend 43000

$$\begin{array}{l}\phantom{2400)}\phantom{1}\\2400\overline{)43000}\\\end{array}$$

Since 4 is less than 2400, use the next digit 3 from dividend 43000 and add 0 to the quotient

$$\begin{array}{l}\phantom{2400)}0\phantom{2}\\2400\overline{)43000}\\\end{array}$$

Use the 2^{nd} digit 3 from dividend 43000

$$\begin{array}{l}\phantom{2400)}0\phantom{3}\\2400\overline{)43000}\\\end{array}$$

Since 43 is less than 2400, use the next digit 0 from dividend 43000 and add 0 to the quotient

$$\begin{array}{l}\phantom{2400)}00\phantom{4}\\2400\overline{)43000}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 43000

$$\begin{array}{l}\phantom{2400)}00\phantom{5}\\2400\overline{)43000}\\\end{array}$$

Since 430 is less than 2400, use the next digit 0 from dividend 43000 and add 0 to the quotient

$$\begin{array}{l}\phantom{2400)}000\phantom{6}\\2400\overline{)43000}\\\end{array}$$

Use the 4^{th} digit 0 from dividend 43000

$$\begin{array}{l}\phantom{2400)}000\phantom{7}\\2400\overline{)43000}\\\end{array}$$

Find closest multiple of 2400 to 4300. We see that 1 \times 2400 = 2400 is the nearest. Now subtract 2400 from 4300 to get reminder 1900. Add 1 to quotient.

$$\begin{array}{l}\phantom{2400)}0001\phantom{8}\\2400\overline{)43000}\\\phantom{2400)}\underline{\phantom{}2400\phantom{9}}\\\phantom{2400)}1900\\\end{array}$$

Use the 5^{th} digit 0 from dividend 43000

$$\begin{array}{l}\phantom{2400)}0001\phantom{9}\\2400\overline{)43000}\\\phantom{2400)}\underline{\phantom{}2400\phantom{9}}\\\phantom{2400)}19000\\\end{array}$$

Find closest multiple of 2400 to 19000. We see that 7 \times 2400 = 16800 is the nearest. Now subtract 16800 from 19000 to get reminder 2200. Add 7 to quotient.

$$\begin{array}{l}\phantom{2400)}00017\phantom{10}\\2400\overline{)43000}\\\phantom{2400)}\underline{\phantom{}2400\phantom{9}}\\\phantom{2400)}19000\\\phantom{2400)}\underline{\phantom{}16800\phantom{}}\\\phantom{2400)9}2200\\\end{array}$$

Since 2200 is less than 2400, stop the division. The reminder is 2200. The topmost line 00017 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 17.

$$\text{Quotient: }17 \text{Reminder: }2200$$

Factor

$$\frac{5 \cdot 43}{2 ^ {2} \cdot 3} = 17\frac{11}{12} = 17.916666666666668$$