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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 828 · 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. 1.72901 ÷ 97 =
  2. 2.670764 ÷ 988 =
  3. 3.194046 ÷ 897 =
  4. 4.71887 ÷ 88 =
  5. 5.162426 ÷ 988 =
  6. 6.343589 ÷ 997 =
  7. 7.244889 ÷ 997 =
  8. 8.8328 ÷ 8 =
  9. 9.92350 ÷ 89 =
  10. 10.98312 ÷ 97 =
  11. 11.677515 ÷ 989 =
  12. 12.5612 ÷ 98 =
  13. 13.20916 ÷ 88 =
  14. 14.357979 ÷ 988 =
  15. 15.97525 ÷ 98 =
  16. 16.826735 ÷ 897 =
  17. 17.545657 ÷ 997 =
  18. 18.76321 ÷ 96 =
  19. 19.520 ÷ 8 =
  20. 20.601240 ÷ 998 =
  21. 21.18584 ÷ 97 =
  22. 22.903358 ÷ 897 =
  23. 23.4654 ÷ 8 =
  24. 24.886988 ÷ 997 =
  25. 25.2578 ÷ 97 =
  26. 26.84643 ÷ 98 =
  27. 27.90818 ÷ 96 =
  28. 28.20769 ÷ 96 =
  29. 29.94933 ÷ 89 =
  30. 30.265051 ÷ 989 =
  31. 31.724721 ÷ 897 =
  32. 32.55282 ÷ 96 =
  33. 33.928703 ÷ 997 =
  34. 34.59065 ÷ 98 =
  35. 35.62333 ÷ 96 =
  36. 36.16102 ÷ 96 =
  37. 37.72752 ÷ 96 =
  38. 38.412168 ÷ 897 =
  39. 39.93370 ÷ 98 =
  40. 40.13125 ÷ 98 =

Answer key

  1. 751 rem 54
  2. 678 rem 900
  3. 216 rem 294
  4. 816 rem 79
  5. 164 rem 394
  6. 344 rem 621
  7. 245 rem 624
  8. 1041 rem 0
  9. 1037 rem 57
  10. 1013 rem 51
  11. 685 rem 50
  12. 57 rem 26
  13. 237 rem 60
  14. 362 rem 323
  15. 995 rem 15
  16. 921 rem 598
  17. 547 rem 298
  18. 795 rem 1
  19. 65 rem 0
  20. 602 rem 444
  21. 191 rem 57
  22. 1007 rem 79
  23. 581 rem 6
  24. 889 rem 655
  25. 26 rem 56
  26. 863 rem 69
  27. 946 rem 2
  28. 216 rem 33
  29. 1066 rem 59
  30. 267 rem 988
  31. 807 rem 842
  32. 575 rem 82
  33. 931 rem 496
  34. 602 rem 69
  35. 649 rem 29
  36. 167 rem 70
  37. 757 rem 80
  38. 459 rem 445
  39. 952 rem 74
  40. 133 rem 91

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