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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 370 · 40 sums
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The trick (Nikhilam Navatashcaramam Dashatah): Write the complement of the divisor (8 → 2, 97 → 03, 88 → 12, 997 → 003, 897 → 103). Split off as many last digits as the base has zeros (1 for 8, 2 for 88, 3 for 997) — that is the remainder part. Bring down each column total, multiply it by the complement, and add the result under the next column(s). If the remainder is not smaller than the divisor, divide it again and add to the quotient.

NameDateTime takenScore ___ / 40
  1. 1.653609 ÷ 989 =
  2. 2.967618 ÷ 988 =
  3. 3.52050 ÷ 96 =
  4. 4.70057 ÷ 96 =
  5. 5.29359 ÷ 97 =
  6. 6.52472 ÷ 97 =
  7. 7.233001 ÷ 989 =
  8. 8.47817 ÷ 97 =
  9. 9.963340 ÷ 998 =
  10. 10.26848 ÷ 98 =
  11. 11.15110 ÷ 97 =
  12. 12.51880 ÷ 97 =
  13. 13.910549 ÷ 989 =
  14. 14.84344 ÷ 88 =
  15. 15.23403 ÷ 88 =
  16. 16.449678 ÷ 988 =
  17. 17.385634 ÷ 998 =
  18. 18.5746 ÷ 8 =
  19. 19.15888 ÷ 96 =
  20. 20.89531 ÷ 89 =
  21. 21.570902 ÷ 989 =
  22. 22.567145 ÷ 989 =
  23. 23.17021 ÷ 997 =
  24. 24.17525 ÷ 89 =
  25. 25.980 ÷ 8 =
  26. 26.41207 ÷ 96 =
  27. 27.930177 ÷ 997 =
  28. 28.621084 ÷ 897 =
  29. 29.947376 ÷ 989 =
  30. 30.36032 ÷ 89 =
  31. 31.10488 ÷ 97 =
  32. 32.329562 ÷ 997 =
  33. 33.536560 ÷ 997 =
  34. 34.26073 ÷ 998 =
  35. 35.482134 ÷ 997 =
  36. 36.610051 ÷ 897 =
  37. 37.18870 ÷ 96 =
  38. 38.856629 ÷ 989 =
  39. 39.61200 ÷ 97 =
  40. 40.11973 ÷ 97 =

Answer key

  1. 660 rem 869
  2. 979 rem 366
  3. 542 rem 18
  4. 729 rem 73
  5. 302 rem 65
  6. 540 rem 92
  7. 235 rem 586
  8. 492 rem 93
  9. 965 rem 270
  10. 273 rem 94
  11. 155 rem 75
  12. 534 rem 82
  13. 920 rem 669
  14. 958 rem 40
  15. 265 rem 83
  16. 455 rem 138
  17. 386 rem 406
  18. 718 rem 2
  19. 165 rem 48
  20. 1005 rem 86
  21. 577 rem 249
  22. 573 rem 448
  23. 17 rem 72
  24. 196 rem 81
  25. 122 rem 4
  26. 429 rem 23
  27. 932 rem 973
  28. 692 rem 360
  29. 957 rem 903
  30. 404 rem 76
  31. 108 rem 12
  32. 330 rem 552
  33. 538 rem 174
  34. 26 rem 125
  35. 483 rem 583
  36. 680 rem 91
  37. 196 rem 54
  38. 866 rem 155
  39. 630 rem 90
  40. 123 rem 42

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