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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 525 · 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. 1.34726 ÷ 97 =
  2. 2.40904 ÷ 97 =
  3. 3.46319 ÷ 88 =
  4. 4.64401 ÷ 989 =
  5. 5.80176 ÷ 97 =
  6. 6.34673 ÷ 96 =
  7. 7.551340 ÷ 988 =
  8. 8.231835 ÷ 998 =
  9. 9.484547 ÷ 989 =
  10. 10.20539 ÷ 96 =
  11. 11.8788 ÷ 8 =
  12. 12.723598 ÷ 998 =
  13. 13.661552 ÷ 997 =
  14. 14.601311 ÷ 897 =
  15. 15.1813 ÷ 8 =
  16. 16.683546 ÷ 989 =
  17. 17.4889 ÷ 8 =
  18. 18.51751 ÷ 89 =
  19. 19.43793 ÷ 96 =
  20. 20.6407 ÷ 8 =
  21. 21.25854 ÷ 98 =
  22. 22.1533 ÷ 8 =
  23. 23.86243 ÷ 97 =
  24. 24.7593 ÷ 8 =
  25. 25.28921 ÷ 89 =
  26. 26.14275 ÷ 98 =
  27. 27.2874 ÷ 8 =
  28. 28.7794 ÷ 89 =
  29. 29.76004 ÷ 96 =
  30. 30.560182 ÷ 897 =
  31. 31.756185 ÷ 997 =
  32. 32.38050 ÷ 96 =
  33. 33.2351 ÷ 97 =
  34. 34.137227 ÷ 998 =
  35. 35.857062 ÷ 989 =
  36. 36.15528 ÷ 88 =
  37. 37.212083 ÷ 897 =
  38. 38.56601 ÷ 96 =
  39. 39.650596 ÷ 998 =
  40. 40.662005 ÷ 989 =

Answer key

  1. 358 rem 0
  2. 421 rem 67
  3. 526 rem 31
  4. 65 rem 116
  5. 826 rem 54
  6. 361 rem 17
  7. 558 rem 36
  8. 232 rem 299
  9. 489 rem 926
  10. 213 rem 91
  11. 1098 rem 4
  12. 725 rem 48
  13. 663 rem 541
  14. 670 rem 321
  15. 226 rem 5
  16. 691 rem 147
  17. 611 rem 1
  18. 581 rem 42
  19. 456 rem 17
  20. 800 rem 7
  21. 263 rem 80
  22. 191 rem 5
  23. 889 rem 10
  24. 949 rem 1
  25. 324 rem 85
  26. 145 rem 65
  27. 359 rem 2
  28. 87 rem 51
  29. 791 rem 68
  30. 624 rem 454
  31. 758 rem 459
  32. 396 rem 34
  33. 24 rem 23
  34. 137 rem 501
  35. 866 rem 588
  36. 176 rem 40
  37. 236 rem 391
  38. 589 rem 57
  39. 651 rem 898
  40. 669 rem 364

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