Solve 15400/56

$$\frac { 15400 } { 56 }$$

Evaluate

$$275$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 15400

$$\begin{array}{l}\phantom{56)}\phantom{1}\\56\overline{)15400}\\\end{array}$$

Since 1 is less than 56, use the next digit 5 from dividend 15400 and add 0 to the quotient

$$\begin{array}{l}\phantom{56)}0\phantom{2}\\56\overline{)15400}\\\end{array}$$

Use the 2^{nd} digit 5 from dividend 15400

$$\begin{array}{l}\phantom{56)}0\phantom{3}\\56\overline{)15400}\\\end{array}$$

Since 15 is less than 56, use the next digit 4 from dividend 15400 and add 0 to the quotient

$$\begin{array}{l}\phantom{56)}00\phantom{4}\\56\overline{)15400}\\\end{array}$$

Use the 3^{rd} digit 4 from dividend 15400

$$\begin{array}{l}\phantom{56)}00\phantom{5}\\56\overline{)15400}\\\end{array}$$

Find closest multiple of 56 to 154. We see that 2 \times 56 = 112 is the nearest. Now subtract 112 from 154 to get reminder 42. Add 2 to quotient.

$$\begin{array}{l}\phantom{56)}002\phantom{6}\\56\overline{)15400}\\\phantom{56)}\underline{\phantom{}112\phantom{99}}\\\phantom{56)9}42\\\end{array}$$

Use the 4^{th} digit 0 from dividend 15400

$$\begin{array}{l}\phantom{56)}002\phantom{7}\\56\overline{)15400}\\\phantom{56)}\underline{\phantom{}112\phantom{99}}\\\phantom{56)9}420\\\end{array}$$

Find closest multiple of 56 to 420. We see that 7 \times 56 = 392 is the nearest. Now subtract 392 from 420 to get reminder 28. Add 7 to quotient.

$$\begin{array}{l}\phantom{56)}0027\phantom{8}\\56\overline{)15400}\\\phantom{56)}\underline{\phantom{}112\phantom{99}}\\\phantom{56)9}420\\\phantom{56)}\underline{\phantom{9}392\phantom{9}}\\\phantom{56)99}28\\\end{array}$$

Use the 5^{th} digit 0 from dividend 15400

$$\begin{array}{l}\phantom{56)}0027\phantom{9}\\56\overline{)15400}\\\phantom{56)}\underline{\phantom{}112\phantom{99}}\\\phantom{56)9}420\\\phantom{56)}\underline{\phantom{9}392\phantom{9}}\\\phantom{56)99}280\\\end{array}$$

Find closest multiple of 56 to 280. We see that 5 \times 56 = 280 is the nearest. Now subtract 280 from 280 to get reminder 0. Add 5 to quotient.

$$\begin{array}{l}\phantom{56)}00275\phantom{10}\\56\overline{)15400}\\\phantom{56)}\underline{\phantom{}112\phantom{99}}\\\phantom{56)9}420\\\phantom{56)}\underline{\phantom{9}392\phantom{9}}\\\phantom{56)99}280\\\phantom{56)}\underline{\phantom{99}280\phantom{}}\\\phantom{56)99999}0\\\end{array}$$

Since 0 is less than 56, stop the division. The reminder is 0. The topmost line 00275 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 275.

$$\text{Quotient: }275 \text{Reminder: }0$$

Factor

$$5^{2}\times 11$$