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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 492 · 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. 1.39129 ÷ 97 =
  2. 2.186689 ÷ 989 =
  3. 3.137240 ÷ 998 =
  4. 4.823585 ÷ 997 =
  5. 5.9768 ÷ 8 =
  6. 6.78097 ÷ 97 =
  7. 7.76267 ÷ 98 =
  8. 8.100526 ÷ 988 =
  9. 9.8458 ÷ 97 =
  10. 10.140259 ÷ 998 =
  11. 11.36628 ÷ 96 =
  12. 12.42976 ÷ 98 =
  13. 13.9811 ÷ 98 =
  14. 14.296449 ÷ 988 =
  15. 15.88293 ÷ 96 =
  16. 16.407221 ÷ 897 =
  17. 17.696919 ÷ 897 =
  18. 18.16638 ÷ 997 =
  19. 19.23570 ÷ 97 =
  20. 20.51294 ÷ 97 =
  21. 21.6279 ÷ 8 =
  22. 22.24695 ÷ 88 =
  23. 23.592484 ÷ 989 =
  24. 24.3052 ÷ 8 =
  25. 25.17907 ÷ 97 =
  26. 26.89937 ÷ 96 =
  27. 27.78237 ÷ 98 =
  28. 28.446865 ÷ 989 =
  29. 29.62793 ÷ 97 =
  30. 30.34372 ÷ 97 =
  31. 31.25822 ÷ 98 =
  32. 32.94331 ÷ 98 =
  33. 33.90309 ÷ 88 =
  34. 34.67027 ÷ 998 =
  35. 35.13591 ÷ 97 =
  36. 36.443925 ÷ 997 =
  37. 37.153853 ÷ 998 =
  38. 38.81981 ÷ 98 =
  39. 39.235026 ÷ 989 =
  40. 40.42120 ÷ 97 =

Answer key

  1. 403 rem 38
  2. 188 rem 757
  3. 137 rem 514
  4. 826 rem 63
  5. 1221 rem 0
  6. 805 rem 12
  7. 778 rem 23
  8. 101 rem 738
  9. 87 rem 19
  10. 140 rem 539
  11. 381 rem 52
  12. 438 rem 52
  13. 100 rem 11
  14. 300 rem 49
  15. 919 rem 69
  16. 453 rem 880
  17. 776 rem 847
  18. 16 rem 686
  19. 242 rem 96
  20. 528 rem 78
  21. 784 rem 7
  22. 280 rem 55
  23. 599 rem 73
  24. 381 rem 4
  25. 184 rem 59
  26. 936 rem 81
  27. 798 rem 33
  28. 451 rem 826
  29. 647 rem 34
  30. 354 rem 34
  31. 263 rem 48
  32. 962 rem 55
  33. 1026 rem 21
  34. 67 rem 161
  35. 140 rem 11
  36. 445 rem 260
  37. 154 rem 161
  38. 836 rem 53
  39. 237 rem 633
  40. 434 rem 22

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