\[\boxed{\text{5.231.}}\]
\[\textbf{а)}\ b = 23,\ q = 69,\ r = 48:\]
\[a = 23 \cdot 69 + 48 = 1\ 587 + 48 =\]
\[= 1\ 635.\ \]
\[\textbf{б)}\ a = 419,\ q = 34,\ r = 11:\]
\[419 = b \cdot 34 + 11\]
\[34b = 419 - 11\]
\[34b = 408\]
\[b = 408\ :34\]
\[b = 12.\ \]
\[\textbf{в)}\ a = 375,\ b = 28,\ r = 11:\ \]
\[375 = 28 \cdot q + 11\]
\[28q = 375 - 11\]
\[28q = 364\]
\[q = 364\ :28\]
\[q = 13.\ \]
\[\textbf{г)}\ a = 123,\ b = 20,\ q = 6:\ \]
\[123 = 20 \cdot 6 + r\]
\[123 = 120 + r\]
\[r = 123 - 120\]
\[r = 3.\]