Solve 2961:47

$$2961 : 47$$

Evaluate

$$63$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 2961

$$\begin{array}{l}\phantom{47)}\phantom{1}\\47\overline{)2961}\\\end{array}$$

Since 2 is less than 47, use the next digit 9 from dividend 2961 and add 0 to the quotient

$$\begin{array}{l}\phantom{47)}0\phantom{2}\\47\overline{)2961}\\\end{array}$$

Use the 2^{nd} digit 9 from dividend 2961

$$\begin{array}{l}\phantom{47)}0\phantom{3}\\47\overline{)2961}\\\end{array}$$

Since 29 is less than 47, use the next digit 6 from dividend 2961 and add 0 to the quotient

$$\begin{array}{l}\phantom{47)}00\phantom{4}\\47\overline{)2961}\\\end{array}$$

Use the 3^{rd} digit 6 from dividend 2961

$$\begin{array}{l}\phantom{47)}00\phantom{5}\\47\overline{)2961}\\\end{array}$$

Find closest multiple of 47 to 296. We see that 6 \times 47 = 282 is the nearest. Now subtract 282 from 296 to get reminder 14. Add 6 to quotient.

$$\begin{array}{l}\phantom{47)}006\phantom{6}\\47\overline{)2961}\\\phantom{47)}\underline{\phantom{}282\phantom{9}}\\\phantom{47)9}14\\\end{array}$$

Use the 4^{th} digit 1 from dividend 2961

$$\begin{array}{l}\phantom{47)}006\phantom{7}\\47\overline{)2961}\\\phantom{47)}\underline{\phantom{}282\phantom{9}}\\\phantom{47)9}141\\\end{array}$$

Find closest multiple of 47 to 141. We see that 3 \times 47 = 141 is the nearest. Now subtract 141 from 141 to get reminder 0. Add 3 to quotient.

$$\begin{array}{l}\phantom{47)}0063\phantom{8}\\47\overline{)2961}\\\phantom{47)}\underline{\phantom{}282\phantom{9}}\\\phantom{47)9}141\\\phantom{47)}\underline{\phantom{9}141\phantom{}}\\\phantom{47)9999}0\\\end{array}$$

Since 0 is less than 47, stop the division. The reminder is 0. The topmost line 0063 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 63.

$$\text{Quotient: }63 \text{Reminder: }0$$

Factor

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