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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 53 · 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. 1.66957 ÷ 97 =
  2. 2.29175 ÷ 98 =
  3. 3.6135 ÷ 8 =
  4. 4.488427 ÷ 988 =
  5. 5.23392 ÷ 998 =
  6. 6.702560 ÷ 988 =
  7. 7.57294 ÷ 89 =
  8. 8.94742 ÷ 89 =
  9. 9.23806 ÷ 96 =
  10. 10.10305 ÷ 96 =
  11. 11.39933 ÷ 98 =
  12. 12.189697 ÷ 998 =
  13. 13.10311 ÷ 89 =
  14. 14.706740 ÷ 997 =
  15. 15.87338 ÷ 88 =
  16. 16.35513 ÷ 88 =
  17. 17.4324 ÷ 8 =
  18. 18.16648 ÷ 989 =
  19. 19.51276 ÷ 96 =
  20. 20.900339 ÷ 897 =
  21. 21.6898 ÷ 8 =
  22. 22.64674 ÷ 88 =
  23. 23.84384 ÷ 97 =
  24. 24.966705 ÷ 989 =
  25. 25.5106 ÷ 97 =
  26. 26.32278 ÷ 96 =
  27. 27.45837 ÷ 96 =
  28. 28.5065 ÷ 8 =
  29. 29.59680 ÷ 89 =
  30. 30.282085 ÷ 897 =
  31. 31.92761 ÷ 88 =
  32. 32.56010 ÷ 96 =
  33. 33.728407 ÷ 997 =
  34. 34.91548 ÷ 97 =
  35. 35.3796 ÷ 8 =
  36. 36.86464 ÷ 98 =
  37. 37.4047 ÷ 8 =
  38. 38.56084 ÷ 88 =
  39. 39.51822 ÷ 98 =
  40. 40.502122 ÷ 997 =

Answer key

  1. 690 rem 27
  2. 297 rem 69
  3. 766 rem 7
  4. 494 rem 355
  5. 23 rem 438
  6. 711 rem 92
  7. 643 rem 67
  8. 1064 rem 46
  9. 247 rem 94
  10. 107 rem 33
  11. 407 rem 47
  12. 190 rem 77
  13. 115 rem 76
  14. 708 rem 864
  15. 992 rem 42
  16. 403 rem 49
  17. 540 rem 4
  18. 16 rem 824
  19. 534 rem 12
  20. 1003 rem 648
  21. 862 rem 2
  22. 734 rem 82
  23. 869 rem 91
  24. 977 rem 452
  25. 52 rem 62
  26. 336 rem 22
  27. 477 rem 45
  28. 633 rem 1
  29. 670 rem 50
  30. 314 rem 427
  31. 1054 rem 9
  32. 583 rem 42
  33. 730 rem 597
  34. 943 rem 77
  35. 474 rem 4
  36. 882 rem 28
  37. 505 rem 7
  38. 637 rem 28
  39. 528 rem 78
  40. 503 rem 631

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