Solve 47625div15

$$47625 \div 15$$

Evaluate

$$3175$$

Steps For Long Division Method

Use the 1^{st} digit 4 from dividend 47625

$$\begin{array}{l}\phantom{15)}\phantom{1}\\15\overline{)47625}\\\end{array}$$

Since 4 is less than 15, use the next digit 7 from dividend 47625 and add 0 to the quotient

$$\begin{array}{l}\phantom{15)}0\phantom{2}\\15\overline{)47625}\\\end{array}$$

Use the 2^{nd} digit 7 from dividend 47625

$$\begin{array}{l}\phantom{15)}0\phantom{3}\\15\overline{)47625}\\\end{array}$$

Find closest multiple of 15 to 47. We see that 3 \times 15 = 45 is the nearest. Now subtract 45 from 47 to get reminder 2. Add 3 to quotient.

$$\begin{array}{l}\phantom{15)}03\phantom{4}\\15\overline{)47625}\\\phantom{15)}\underline{\phantom{}45\phantom{999}}\\\phantom{15)9}2\\\end{array}$$

Use the 3^{rd} digit 6 from dividend 47625

$$\begin{array}{l}\phantom{15)}03\phantom{5}\\15\overline{)47625}\\\phantom{15)}\underline{\phantom{}45\phantom{999}}\\\phantom{15)9}26\\\end{array}$$

Find closest multiple of 15 to 26. We see that 1 \times 15 = 15 is the nearest. Now subtract 15 from 26 to get reminder 11. Add 1 to quotient.

$$\begin{array}{l}\phantom{15)}031\phantom{6}\\15\overline{)47625}\\\phantom{15)}\underline{\phantom{}45\phantom{999}}\\\phantom{15)9}26\\\phantom{15)}\underline{\phantom{9}15\phantom{99}}\\\phantom{15)9}11\\\end{array}$$

Use the 4^{th} digit 2 from dividend 47625

$$\begin{array}{l}\phantom{15)}031\phantom{7}\\15\overline{)47625}\\\phantom{15)}\underline{\phantom{}45\phantom{999}}\\\phantom{15)9}26\\\phantom{15)}\underline{\phantom{9}15\phantom{99}}\\\phantom{15)9}112\\\end{array}$$

Find closest multiple of 15 to 112. We see that 7 \times 15 = 105 is the nearest. Now subtract 105 from 112 to get reminder 7. Add 7 to quotient.

$$\begin{array}{l}\phantom{15)}0317\phantom{8}\\15\overline{)47625}\\\phantom{15)}\underline{\phantom{}45\phantom{999}}\\\phantom{15)9}26\\\phantom{15)}\underline{\phantom{9}15\phantom{99}}\\\phantom{15)9}112\\\phantom{15)}\underline{\phantom{9}105\phantom{9}}\\\phantom{15)999}7\\\end{array}$$

Use the 5^{th} digit 5 from dividend 47625

$$\begin{array}{l}\phantom{15)}0317\phantom{9}\\15\overline{)47625}\\\phantom{15)}\underline{\phantom{}45\phantom{999}}\\\phantom{15)9}26\\\phantom{15)}\underline{\phantom{9}15\phantom{99}}\\\phantom{15)9}112\\\phantom{15)}\underline{\phantom{9}105\phantom{9}}\\\phantom{15)999}75\\\end{array}$$

Find closest multiple of 15 to 75. We see that 5 \times 15 = 75 is the nearest. Now subtract 75 from 75 to get reminder 0. Add 5 to quotient.

$$\begin{array}{l}\phantom{15)}03175\phantom{10}\\15\overline{)47625}\\\phantom{15)}\underline{\phantom{}45\phantom{999}}\\\phantom{15)9}26\\\phantom{15)}\underline{\phantom{9}15\phantom{99}}\\\phantom{15)9}112\\\phantom{15)}\underline{\phantom{9}105\phantom{9}}\\\phantom{15)999}75\\\phantom{15)}\underline{\phantom{999}75\phantom{}}\\\phantom{15)99999}0\\\end{array}$$

Since 0 is less than 15, stop the division. The reminder is 0. The topmost line 03175 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 3175.

$$\text{Quotient: }3175 \text{Reminder: }0$$

Factor

$$5^{2}\times 127$$