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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 330 · 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. 1.38930 ÷ 98 =
  2. 2.289925 ÷ 997 =
  3. 3.769456 ÷ 998 =
  4. 4.598257 ÷ 997 =
  5. 5.263655 ÷ 989 =
  6. 6.261114 ÷ 897 =
  7. 7.3195 ÷ 8 =
  8. 8.66155 ÷ 88 =
  9. 9.240215 ÷ 997 =
  10. 10.224927 ÷ 989 =
  11. 11.655756 ÷ 998 =
  12. 12.450539 ÷ 897 =
  13. 13.731467 ÷ 997 =
  14. 14.670039 ÷ 988 =
  15. 15.45857 ÷ 96 =
  16. 16.541647 ÷ 897 =
  17. 17.64070 ÷ 88 =
  18. 18.253130 ÷ 897 =
  19. 19.55498 ÷ 98 =
  20. 20.587230 ÷ 988 =
  21. 21.748598 ÷ 997 =
  22. 22.99101 ÷ 97 =
  23. 23.5773 ÷ 8 =
  24. 24.19887 ÷ 97 =
  25. 25.3670 ÷ 97 =
  26. 26.56785 ÷ 89 =
  27. 27.9814 ÷ 8 =
  28. 28.533159 ÷ 989 =
  29. 29.28757 ÷ 98 =
  30. 30.155277 ÷ 998 =
  31. 31.681130 ÷ 997 =
  32. 32.839 ÷ 8 =
  33. 33.52753 ÷ 97 =
  34. 34.39097 ÷ 989 =
  35. 35.786428 ÷ 997 =
  36. 36.657870 ÷ 989 =
  37. 37.35831 ÷ 89 =
  38. 38.610187 ÷ 989 =
  39. 39.4186 ÷ 8 =
  40. 40.160418 ÷ 989 =

Answer key

  1. 397 rem 24
  2. 290 rem 795
  3. 770 rem 996
  4. 600 rem 57
  5. 266 rem 581
  6. 291 rem 87
  7. 399 rem 3
  8. 751 rem 67
  9. 240 rem 935
  10. 227 rem 424
  11. 657 rem 70
  12. 502 rem 245
  13. 733 rem 666
  14. 678 rem 175
  15. 477 rem 65
  16. 603 rem 756
  17. 728 rem 6
  18. 282 rem 176
  19. 566 rem 30
  20. 594 rem 358
  21. 750 rem 848
  22. 1021 rem 64
  23. 721 rem 5
  24. 205 rem 2
  25. 37 rem 81
  26. 638 rem 3
  27. 1226 rem 6
  28. 539 rem 88
  29. 293 rem 43
  30. 155 rem 587
  31. 683 rem 179
  32. 104 rem 7
  33. 543 rem 82
  34. 39 rem 526
  35. 788 rem 792
  36. 665 rem 185
  37. 402 rem 53
  38. 616 rem 963
  39. 523 rem 2
  40. 162 rem 200

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