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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 162 · 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. 1.67470 ÷ 97 =
  2. 2.6801 ÷ 8 =
  3. 3.643848 ÷ 997 =
  4. 4.8597 ÷ 8 =
  5. 5.58974 ÷ 89 =
  6. 6.474548 ÷ 897 =
  7. 7.630 ÷ 8 =
  8. 8.817384 ÷ 897 =
  9. 9.61605 ÷ 96 =
  10. 10.762119 ÷ 989 =
  11. 11.531124 ÷ 998 =
  12. 12.358593 ÷ 998 =
  13. 13.67100 ÷ 97 =
  14. 14.34896 ÷ 98 =
  15. 15.48355 ÷ 98 =
  16. 16.6058 ÷ 8 =
  17. 17.69411 ÷ 89 =
  18. 18.722749 ÷ 897 =
  19. 19.26561 ÷ 98 =
  20. 20.817481 ÷ 997 =
  21. 21.71491 ÷ 97 =
  22. 22.9316 ÷ 8 =
  23. 23.48773 ÷ 989 =
  24. 24.18321 ÷ 97 =
  25. 25.69507 ÷ 98 =
  26. 26.14666 ÷ 96 =
  27. 27.928705 ÷ 988 =
  28. 28.27695 ÷ 96 =
  29. 29.227165 ÷ 998 =
  30. 30.44137 ÷ 89 =
  31. 31.2039 ÷ 8 =
  32. 32.65022 ÷ 97 =
  33. 33.87524 ÷ 98 =
  34. 34.79784 ÷ 89 =
  35. 35.12397 ÷ 97 =
  36. 36.76100 ÷ 96 =
  37. 37.728475 ÷ 897 =
  38. 38.4599 ÷ 8 =
  39. 39.833390 ÷ 997 =
  40. 40.107002 ÷ 989 =

Answer key

  1. 695 rem 55
  2. 850 rem 1
  3. 645 rem 783
  4. 1074 rem 5
  5. 662 rem 56
  6. 529 rem 35
  7. 78 rem 6
  8. 911 rem 217
  9. 641 rem 69
  10. 770 rem 589
  11. 532 rem 188
  12. 359 rem 311
  13. 691 rem 73
  14. 356 rem 8
  15. 493 rem 41
  16. 757 rem 2
  17. 779 rem 80
  18. 805 rem 664
  19. 271 rem 3
  20. 819 rem 938
  21. 737 rem 2
  22. 1164 rem 4
  23. 49 rem 312
  24. 188 rem 85
  25. 709 rem 25
  26. 152 rem 74
  27. 939 rem 973
  28. 288 rem 47
  29. 227 rem 619
  30. 495 rem 82
  31. 254 rem 7
  32. 670 rem 32
  33. 893 rem 10
  34. 896 rem 40
  35. 127 rem 78
  36. 792 rem 68
  37. 812 rem 111
  38. 574 rem 7
  39. 835 rem 895
  40. 108 rem 190

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