Solve 4200div25

$$4200 \div 25$$

Evaluate

$$168$$

Steps For Long Division Method

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

$$\begin{array}{l}\phantom{25)}\phantom{1}\\25\overline{)4200}\\\end{array}$$

Since 4 is less than 25, use the next digit 2 from dividend 4200 and add 0 to the quotient

$$\begin{array}{l}\phantom{25)}0\phantom{2}\\25\overline{)4200}\\\end{array}$$

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

$$\begin{array}{l}\phantom{25)}0\phantom{3}\\25\overline{)4200}\\\end{array}$$

Find closest multiple of 25 to 42. We see that 1 \times 25 = 25 is the nearest. Now subtract 25 from 42 to get reminder 17. Add 1 to quotient.

$$\begin{array}{l}\phantom{25)}01\phantom{4}\\25\overline{)4200}\\\phantom{25)}\underline{\phantom{}25\phantom{99}}\\\phantom{25)}17\\\end{array}$$

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

$$\begin{array}{l}\phantom{25)}01\phantom{5}\\25\overline{)4200}\\\phantom{25)}\underline{\phantom{}25\phantom{99}}\\\phantom{25)}170\\\end{array}$$

Find closest multiple of 25 to 170. We see that 6 \times 25 = 150 is the nearest. Now subtract 150 from 170 to get reminder 20. Add 6 to quotient.

$$\begin{array}{l}\phantom{25)}016\phantom{6}\\25\overline{)4200}\\\phantom{25)}\underline{\phantom{}25\phantom{99}}\\\phantom{25)}170\\\phantom{25)}\underline{\phantom{}150\phantom{9}}\\\phantom{25)9}20\\\end{array}$$

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

$$\begin{array}{l}\phantom{25)}016\phantom{7}\\25\overline{)4200}\\\phantom{25)}\underline{\phantom{}25\phantom{99}}\\\phantom{25)}170\\\phantom{25)}\underline{\phantom{}150\phantom{9}}\\\phantom{25)9}200\\\end{array}$$

Find closest multiple of 25 to 200. We see that 8 \times 25 = 200 is the nearest. Now subtract 200 from 200 to get reminder 0. Add 8 to quotient.

$$\begin{array}{l}\phantom{25)}0168\phantom{8}\\25\overline{)4200}\\\phantom{25)}\underline{\phantom{}25\phantom{99}}\\\phantom{25)}170\\\phantom{25)}\underline{\phantom{}150\phantom{9}}\\\phantom{25)9}200\\\phantom{25)}\underline{\phantom{9}200\phantom{}}\\\phantom{25)9999}0\\\end{array}$$

Since 0 is less than 25, stop the division. The reminder is 0. The topmost line 0168 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 168.

$$\text{Quotient: }168 \text{Reminder: }0$$

Factor

$$2^{3}\times 3\times 7$$