Solve 6956/47

$$\frac { 6956 } { 47 }$$

Evaluate

$$148$$

Steps For Long Division Method

Use the 1^{st} digit 6 from dividend 6956

$$\begin{array}{l}\phantom{47)}\phantom{1}\\47\overline{)6956}\\\end{array}$$

Since 6 is less than 47, use the next digit 9 from dividend 6956 and add 0 to the quotient

$$\begin{array}{l}\phantom{47)}0\phantom{2}\\47\overline{)6956}\\\end{array}$$

Use the 2^{nd} digit 9 from dividend 6956

$$\begin{array}{l}\phantom{47)}0\phantom{3}\\47\overline{)6956}\\\end{array}$$

Find closest multiple of 47 to 69. We see that 1 \times 47 = 47 is the nearest. Now subtract 47 from 69 to get reminder 22. Add 1 to quotient.

$$\begin{array}{l}\phantom{47)}01\phantom{4}\\47\overline{)6956}\\\phantom{47)}\underline{\phantom{}47\phantom{99}}\\\phantom{47)}22\\\end{array}$$

Use the 3^{rd} digit 5 from dividend 6956

$$\begin{array}{l}\phantom{47)}01\phantom{5}\\47\overline{)6956}\\\phantom{47)}\underline{\phantom{}47\phantom{99}}\\\phantom{47)}225\\\end{array}$$

Find closest multiple of 47 to 225. We see that 4 \times 47 = 188 is the nearest. Now subtract 188 from 225 to get reminder 37. Add 4 to quotient.

$$\begin{array}{l}\phantom{47)}014\phantom{6}\\47\overline{)6956}\\\phantom{47)}\underline{\phantom{}47\phantom{99}}\\\phantom{47)}225\\\phantom{47)}\underline{\phantom{}188\phantom{9}}\\\phantom{47)9}37\\\end{array}$$

Use the 4^{th} digit 6 from dividend 6956

$$\begin{array}{l}\phantom{47)}014\phantom{7}\\47\overline{)6956}\\\phantom{47)}\underline{\phantom{}47\phantom{99}}\\\phantom{47)}225\\\phantom{47)}\underline{\phantom{}188\phantom{9}}\\\phantom{47)9}376\\\end{array}$$

Find closest multiple of 47 to 376. We see that 8 \times 47 = 376 is the nearest. Now subtract 376 from 376 to get reminder 0. Add 8 to quotient.

$$\begin{array}{l}\phantom{47)}0148\phantom{8}\\47\overline{)6956}\\\phantom{47)}\underline{\phantom{}47\phantom{99}}\\\phantom{47)}225\\\phantom{47)}\underline{\phantom{}188\phantom{9}}\\\phantom{47)9}376\\\phantom{47)}\underline{\phantom{9}376\phantom{}}\\\phantom{47)9999}0\\\end{array}$$

Since 0 is less than 47, stop the division. The reminder is 0. The topmost line 0148 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 148.

$$\text{Quotient: }148 \text{Reminder: }0$$

Factor

$$2^{2}\times 37$$