Solve 53000div125

$$53000 \div 125$$

Evaluate

$$424$$

Steps For Long Division Method

Use the 1^{st} digit 5 from dividend 53000

$$\begin{array}{l}\phantom{125)}\phantom{1}\\125\overline{)53000}\\\end{array}$$

Since 5 is less than 125, use the next digit 3 from dividend 53000 and add 0 to the quotient

$$\begin{array}{l}\phantom{125)}0\phantom{2}\\125\overline{)53000}\\\end{array}$$

Use the 2^{nd} digit 3 from dividend 53000

$$\begin{array}{l}\phantom{125)}0\phantom{3}\\125\overline{)53000}\\\end{array}$$

Since 53 is less than 125, use the next digit 0 from dividend 53000 and add 0 to the quotient

$$\begin{array}{l}\phantom{125)}00\phantom{4}\\125\overline{)53000}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 53000

$$\begin{array}{l}\phantom{125)}00\phantom{5}\\125\overline{)53000}\\\end{array}$$

Find closest multiple of 125 to 530. We see that 4 \times 125 = 500 is the nearest. Now subtract 500 from 530 to get reminder 30. Add 4 to quotient.

$$\begin{array}{l}\phantom{125)}004\phantom{6}\\125\overline{)53000}\\\phantom{125)}\underline{\phantom{}500\phantom{99}}\\\phantom{125)9}30\\\end{array}$$

Use the 4^{th} digit 0 from dividend 53000

$$\begin{array}{l}\phantom{125)}004\phantom{7}\\125\overline{)53000}\\\phantom{125)}\underline{\phantom{}500\phantom{99}}\\\phantom{125)9}300\\\end{array}$$

Find closest multiple of 125 to 300. We see that 2 \times 125 = 250 is the nearest. Now subtract 250 from 300 to get reminder 50. Add 2 to quotient.

$$\begin{array}{l}\phantom{125)}0042\phantom{8}\\125\overline{)53000}\\\phantom{125)}\underline{\phantom{}500\phantom{99}}\\\phantom{125)9}300\\\phantom{125)}\underline{\phantom{9}250\phantom{9}}\\\phantom{125)99}50\\\end{array}$$

Use the 5^{th} digit 0 from dividend 53000

$$\begin{array}{l}\phantom{125)}0042\phantom{9}\\125\overline{)53000}\\\phantom{125)}\underline{\phantom{}500\phantom{99}}\\\phantom{125)9}300\\\phantom{125)}\underline{\phantom{9}250\phantom{9}}\\\phantom{125)99}500\\\end{array}$$

Find closest multiple of 125 to 500. We see that 4 \times 125 = 500 is the nearest. Now subtract 500 from 500 to get reminder 0. Add 4 to quotient.

$$\begin{array}{l}\phantom{125)}00424\phantom{10}\\125\overline{)53000}\\\phantom{125)}\underline{\phantom{}500\phantom{99}}\\\phantom{125)9}300\\\phantom{125)}\underline{\phantom{9}250\phantom{9}}\\\phantom{125)99}500\\\phantom{125)}\underline{\phantom{99}500\phantom{}}\\\phantom{125)99999}0\\\end{array}$$

Since 0 is less than 125, stop the division. The reminder is 0. The topmost line 00424 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 424.

$$\text{Quotient: }424 \text{Reminder: }0$$

Factor

$$2^{3}\times 53$$