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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 734 · 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. 1.401596 ÷ 998 =
  2. 2.26219 ÷ 98 =
  3. 3.15143 ÷ 88 =
  4. 4.676619 ÷ 997 =
  5. 5.18165 ÷ 98 =
  6. 6.54453 ÷ 97 =
  7. 7.7045 ÷ 8 =
  8. 8.63418 ÷ 98 =
  9. 9.67155 ÷ 89 =
  10. 10.3070 ÷ 88 =
  11. 11.2386 ÷ 8 =
  12. 12.328837 ÷ 988 =
  13. 13.6395 ÷ 8 =
  14. 14.747438 ÷ 998 =
  15. 15.849558 ÷ 988 =
  16. 16.84867 ÷ 89 =
  17. 17.706696 ÷ 998 =
  18. 18.937743 ÷ 998 =
  19. 19.44237 ÷ 96 =
  20. 20.30220 ÷ 96 =
  21. 21.714 ÷ 8 =
  22. 22.664249 ÷ 997 =
  23. 23.90764 ÷ 89 =
  24. 24.205622 ÷ 998 =
  25. 25.21087 ÷ 998 =
  26. 26.72362 ÷ 97 =
  27. 27.66764 ÷ 88 =
  28. 28.928774 ÷ 998 =
  29. 29.76884 ÷ 98 =
  30. 30.28031 ÷ 97 =
  31. 31.480831 ÷ 988 =
  32. 32.39732 ÷ 98 =
  33. 33.97484 ÷ 988 =
  34. 34.6179 ÷ 8 =
  35. 35.11412 ÷ 98 =
  36. 36.658362 ÷ 989 =
  37. 37.55862 ÷ 98 =
  38. 38.85374 ÷ 96 =
  39. 39.54672 ÷ 98 =
  40. 40.17053 ÷ 98 =

Answer key

  1. 402 rem 400
  2. 267 rem 53
  3. 172 rem 7
  4. 678 rem 653
  5. 185 rem 35
  6. 561 rem 36
  7. 880 rem 5
  8. 647 rem 12
  9. 754 rem 49
  10. 34 rem 78
  11. 298 rem 2
  12. 332 rem 821
  13. 799 rem 3
  14. 748 rem 934
  15. 859 rem 866
  16. 953 rem 50
  17. 708 rem 112
  18. 939 rem 621
  19. 460 rem 77
  20. 314 rem 76
  21. 89 rem 2
  22. 666 rem 247
  23. 1019 rem 73
  24. 206 rem 34
  25. 21 rem 129
  26. 746 rem 0
  27. 758 rem 60
  28. 930 rem 634
  29. 784 rem 52
  30. 288 rem 95
  31. 486 rem 663
  32. 405 rem 42
  33. 98 rem 660
  34. 772 rem 3
  35. 116 rem 44
  36. 665 rem 677
  37. 570 rem 2
  38. 889 rem 30
  39. 557 rem 86
  40. 174 rem 1

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