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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 871 · 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. 1.30636 ÷ 89 =
  2. 2.34340 ÷ 88 =
  3. 3.524955 ÷ 989 =
  4. 4.2801 ÷ 8 =
  5. 5.91696 ÷ 96 =
  6. 6.256033 ÷ 988 =
  7. 7.209 ÷ 8 =
  8. 8.3820 ÷ 8 =
  9. 9.2146 ÷ 8 =
  10. 10.950030 ÷ 998 =
  11. 11.27469 ÷ 89 =
  12. 12.555862 ÷ 897 =
  13. 13.48671 ÷ 97 =
  14. 14.46735 ÷ 96 =
  15. 15.74791 ÷ 89 =
  16. 16.6935 ÷ 97 =
  17. 17.3137 ÷ 97 =
  18. 18.710859 ÷ 988 =
  19. 19.1454 ÷ 96 =
  20. 20.11543 ÷ 98 =
  21. 21.75845 ÷ 98 =
  22. 22.2421 ÷ 89 =
  23. 23.521561 ÷ 989 =
  24. 24.80360 ÷ 89 =
  25. 25.51792 ÷ 98 =
  26. 26.464210 ÷ 988 =
  27. 27.633654 ÷ 998 =
  28. 28.878418 ÷ 998 =
  29. 29.10501 ÷ 97 =
  30. 30.14347 ÷ 96 =
  31. 31.852358 ÷ 997 =
  32. 32.31498 ÷ 97 =
  33. 33.537425 ÷ 998 =
  34. 34.293474 ÷ 998 =
  35. 35.85642 ÷ 98 =
  36. 36.3210 ÷ 89 =
  37. 37.54654 ÷ 97 =
  38. 38.127075 ÷ 897 =
  39. 39.824697 ÷ 897 =
  40. 40.318463 ÷ 998 =

Answer key

  1. 344 rem 20
  2. 390 rem 20
  3. 530 rem 785
  4. 350 rem 1
  5. 955 rem 16
  6. 259 rem 141
  7. 26 rem 1
  8. 477 rem 4
  9. 268 rem 2
  10. 951 rem 932
  11. 308 rem 57
  12. 619 rem 619
  13. 501 rem 74
  14. 486 rem 79
  15. 840 rem 31
  16. 71 rem 48
  17. 32 rem 33
  18. 719 rem 487
  19. 15 rem 14
  20. 117 rem 77
  21. 773 rem 91
  22. 27 rem 18
  23. 527 rem 358
  24. 902 rem 82
  25. 528 rem 48
  26. 469 rem 838
  27. 634 rem 922
  28. 880 rem 178
  29. 108 rem 25
  30. 149 rem 43
  31. 854 rem 920
  32. 324 rem 70
  33. 538 rem 501
  34. 294 rem 62
  35. 873 rem 88
  36. 36 rem 6
  37. 563 rem 43
  38. 141 rem 598
  39. 919 rem 354
  40. 319 rem 101

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