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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 767 · 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. 1.4036 ÷ 98 =
  2. 2.43429 ÷ 97 =
  3. 3.63826 ÷ 97 =
  4. 4.26870 ÷ 96 =
  5. 5.53284 ÷ 97 =
  6. 6.2047 ÷ 8 =
  7. 7.13201 ÷ 998 =
  8. 8.82402 ÷ 97 =
  9. 9.17734 ÷ 98 =
  10. 10.231155 ÷ 997 =
  11. 11.42620 ÷ 97 =
  12. 12.397974 ÷ 998 =
  13. 13.24899 ÷ 97 =
  14. 14.71602 ÷ 98 =
  15. 15.96703 ÷ 89 =
  16. 16.595763 ÷ 997 =
  17. 17.11295 ÷ 98 =
  18. 18.75083 ÷ 989 =
  19. 19.78535 ÷ 88 =
  20. 20.4870 ÷ 88 =
  21. 21.58624 ÷ 997 =
  22. 22.226347 ÷ 998 =
  23. 23.965298 ÷ 897 =
  24. 24.524514 ÷ 897 =
  25. 25.6915 ÷ 96 =
  26. 26.85022 ÷ 89 =
  27. 27.78165 ÷ 98 =
  28. 28.45076 ÷ 98 =
  29. 29.592219 ÷ 998 =
  30. 30.700682 ÷ 988 =
  31. 31.256714 ÷ 989 =
  32. 32.98884 ÷ 88 =
  33. 33.8592 ÷ 8 =
  34. 34.268652 ÷ 988 =
  35. 35.82510 ÷ 98 =
  36. 36.2032 ÷ 89 =
  37. 37.135351 ÷ 998 =
  38. 38.27231 ÷ 89 =
  39. 39.88494 ÷ 97 =
  40. 40.949264 ÷ 988 =

Answer key

  1. 41 rem 18
  2. 447 rem 70
  3. 658 rem 0
  4. 279 rem 86
  5. 549 rem 31
  6. 255 rem 7
  7. 13 rem 227
  8. 849 rem 49
  9. 180 rem 94
  10. 231 rem 848
  11. 439 rem 37
  12. 398 rem 770
  13. 256 rem 67
  14. 730 rem 62
  15. 1086 rem 49
  16. 597 rem 554
  17. 115 rem 25
  18. 75 rem 908
  19. 892 rem 39
  20. 55 rem 30
  21. 58 rem 798
  22. 226 rem 799
  23. 1076 rem 126
  24. 584 rem 666
  25. 72 rem 3
  26. 955 rem 27
  27. 797 rem 59
  28. 459 rem 94
  29. 593 rem 405
  30. 709 rem 190
  31. 259 rem 563
  32. 1123 rem 60
  33. 1074 rem 0
  34. 271 rem 904
  35. 841 rem 92
  36. 22 rem 74
  37. 135 rem 621
  38. 305 rem 86
  39. 912 rem 30
  40. 960 rem 784

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