Solve 4200div24

$$4200 \div 24$$

Evaluate

$$175$$

Steps For Long Division Method

Use the 1^{st} digit 4 from dividend 4200

$$\begin{array}{l}\phantom{24)}\phantom{1}\\24\overline{)4200}\\\end{array}$$

Since 4 is less than 24, use the next digit 2 from dividend 4200 and add 0 to the quotient

$$\begin{array}{l}\phantom{24)}0\phantom{2}\\24\overline{)4200}\\\end{array}$$

Use the 2^{nd} digit 2 from dividend 4200

$$\begin{array}{l}\phantom{24)}0\phantom{3}\\24\overline{)4200}\\\end{array}$$

Find closest multiple of 24 to 42. We see that 1 \times 24 = 24 is the nearest. Now subtract 24 from 42 to get reminder 18. Add 1 to quotient.

$$\begin{array}{l}\phantom{24)}01\phantom{4}\\24\overline{)4200}\\\phantom{24)}\underline{\phantom{}24\phantom{99}}\\\phantom{24)}18\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 4200

$$\begin{array}{l}\phantom{24)}01\phantom{5}\\24\overline{)4200}\\\phantom{24)}\underline{\phantom{}24\phantom{99}}\\\phantom{24)}180\\\end{array}$$

Find closest multiple of 24 to 180. We see that 7 \times 24 = 168 is the nearest. Now subtract 168 from 180 to get reminder 12. Add 7 to quotient.

$$\begin{array}{l}\phantom{24)}017\phantom{6}\\24\overline{)4200}\\\phantom{24)}\underline{\phantom{}24\phantom{99}}\\\phantom{24)}180\\\phantom{24)}\underline{\phantom{}168\phantom{9}}\\\phantom{24)9}12\\\end{array}$$

Use the 4^{th} digit 0 from dividend 4200

$$\begin{array}{l}\phantom{24)}017\phantom{7}\\24\overline{)4200}\\\phantom{24)}\underline{\phantom{}24\phantom{99}}\\\phantom{24)}180\\\phantom{24)}\underline{\phantom{}168\phantom{9}}\\\phantom{24)9}120\\\end{array}$$

Find closest multiple of 24 to 120. We see that 5 \times 24 = 120 is the nearest. Now subtract 120 from 120 to get reminder 0. Add 5 to quotient.

$$\begin{array}{l}\phantom{24)}0175\phantom{8}\\24\overline{)4200}\\\phantom{24)}\underline{\phantom{}24\phantom{99}}\\\phantom{24)}180\\\phantom{24)}\underline{\phantom{}168\phantom{9}}\\\phantom{24)9}120\\\phantom{24)}\underline{\phantom{9}120\phantom{}}\\\phantom{24)9999}0\\\end{array}$$

Since 0 is less than 24, stop the division. The reminder is 0. The topmost line 0175 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 175.

$$\text{Quotient: }175 \text{Reminder: }0$$

Factor

$$5^{2}\times 7$$