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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 115 · 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. 1.29429 ÷ 98 =
  2. 2.675840 ÷ 997 =
  3. 3.83292 ÷ 89 =
  4. 4.77211 ÷ 97 =
  5. 5.948030 ÷ 998 =
  6. 6.424272 ÷ 989 =
  7. 7.86695 ÷ 88 =
  8. 8.1682 ÷ 8 =
  9. 9.970531 ÷ 897 =
  10. 10.18644 ÷ 89 =
  11. 11.90075 ÷ 88 =
  12. 12.9904 ÷ 8 =
  13. 13.3391 ÷ 8 =
  14. 14.61380 ÷ 98 =
  15. 15.195119 ÷ 897 =
  16. 16.83845 ÷ 89 =
  17. 17.821 ÷ 8 =
  18. 18.706659 ÷ 897 =
  19. 19.316618 ÷ 988 =
  20. 20.702347 ÷ 989 =
  21. 21.805321 ÷ 998 =
  22. 22.835240 ÷ 897 =
  23. 23.7577 ÷ 89 =
  24. 24.763125 ÷ 997 =
  25. 25.52174 ÷ 98 =
  26. 26.23476 ÷ 98 =
  27. 27.429599 ÷ 988 =
  28. 28.595289 ÷ 997 =
  29. 29.906923 ÷ 989 =
  30. 30.57435 ÷ 897 =
  31. 31.97125 ÷ 98 =
  32. 32.9805 ÷ 8 =
  33. 33.26344 ÷ 98 =
  34. 34.873010 ÷ 998 =
  35. 35.821111 ÷ 989 =
  36. 36.885012 ÷ 998 =
  37. 37.65512 ÷ 98 =
  38. 38.91089 ÷ 88 =
  39. 39.435790 ÷ 997 =
  40. 40.28576 ÷ 88 =

Answer key

  1. 300 rem 29
  2. 677 rem 871
  3. 935 rem 77
  4. 795 rem 96
  5. 949 rem 928
  6. 428 rem 980
  7. 985 rem 15
  8. 210 rem 2
  9. 1081 rem 874
  10. 209 rem 43
  11. 1023 rem 51
  12. 1238 rem 0
  13. 423 rem 7
  14. 626 rem 32
  15. 217 rem 470
  16. 942 rem 7
  17. 102 rem 5
  18. 787 rem 720
  19. 320 rem 458
  20. 710 rem 157
  21. 806 rem 933
  22. 931 rem 133
  23. 85 rem 12
  24. 765 rem 420
  25. 532 rem 38
  26. 239 rem 54
  27. 434 rem 807
  28. 597 rem 80
  29. 917 rem 10
  30. 64 rem 27
  31. 991 rem 7
  32. 1225 rem 5
  33. 268 rem 80
  34. 874 rem 758
  35. 830 rem 241
  36. 886 rem 784
  37. 668 rem 48
  38. 1035 rem 9
  39. 437 rem 101
  40. 324 rem 64

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