Solve 6,848/49

$$6,848 / 49$$

Evaluate

$$\frac{6848}{49}\approx 139.755102041$$

Steps For Long Division Method

Use the 1^{st} digit 6 from dividend 6848

$$\begin{array}{l}\phantom{49)}\phantom{1}\\49\overline{)6848}\\\end{array}$$

Since 6 is less than 49, use the next digit 8 from dividend 6848 and add 0 to the quotient

$$\begin{array}{l}\phantom{49)}0\phantom{2}\\49\overline{)6848}\\\end{array}$$

Use the 2^{nd} digit 8 from dividend 6848

$$\begin{array}{l}\phantom{49)}0\phantom{3}\\49\overline{)6848}\\\end{array}$$

Find closest multiple of 49 to 68. We see that 1 \times 49 = 49 is the nearest. Now subtract 49 from 68 to get reminder 19. Add 1 to quotient.

$$\begin{array}{l}\phantom{49)}01\phantom{4}\\49\overline{)6848}\\\phantom{49)}\underline{\phantom{}49\phantom{99}}\\\phantom{49)}19\\\end{array}$$

Use the 3^{rd} digit 4 from dividend 6848

$$\begin{array}{l}\phantom{49)}01\phantom{5}\\49\overline{)6848}\\\phantom{49)}\underline{\phantom{}49\phantom{99}}\\\phantom{49)}194\\\end{array}$$

Find closest multiple of 49 to 194. We see that 3 \times 49 = 147 is the nearest. Now subtract 147 from 194 to get reminder 47. Add 3 to quotient.

$$\begin{array}{l}\phantom{49)}013\phantom{6}\\49\overline{)6848}\\\phantom{49)}\underline{\phantom{}49\phantom{99}}\\\phantom{49)}194\\\phantom{49)}\underline{\phantom{}147\phantom{9}}\\\phantom{49)9}47\\\end{array}$$

Use the 4^{th} digit 8 from dividend 6848

$$\begin{array}{l}\phantom{49)}013\phantom{7}\\49\overline{)6848}\\\phantom{49)}\underline{\phantom{}49\phantom{99}}\\\phantom{49)}194\\\phantom{49)}\underline{\phantom{}147\phantom{9}}\\\phantom{49)9}478\\\end{array}$$

Find closest multiple of 49 to 478. We see that 9 \times 49 = 441 is the nearest. Now subtract 441 from 478 to get reminder 37. Add 9 to quotient.

$$\begin{array}{l}\phantom{49)}0139\phantom{8}\\49\overline{)6848}\\\phantom{49)}\underline{\phantom{}49\phantom{99}}\\\phantom{49)}194\\\phantom{49)}\underline{\phantom{}147\phantom{9}}\\\phantom{49)9}478\\\phantom{49)}\underline{\phantom{9}441\phantom{}}\\\phantom{49)99}37\\\end{array}$$

Since 37 is less than 49, stop the division. The reminder is 37. The topmost line 0139 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 139.

$$\text{Quotient: }139 \text{Reminder: }37$$

Factor

$$\frac{2 ^ {6} \cdot 107}{7 ^ {2}} = 139\frac{37}{49} = 139.75510204081633$$