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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 406 · 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. 1.16265 ÷ 88 =
  2. 2.159195 ÷ 897 =
  3. 3.7922 ÷ 8 =
  4. 4.5443 ÷ 89 =
  5. 5.48647 ÷ 88 =
  6. 6.27701 ÷ 98 =
  7. 7.9820 ÷ 98 =
  8. 8.714 ÷ 8 =
  9. 9.817032 ÷ 988 =
  10. 10.61100 ÷ 96 =
  11. 11.79061 ÷ 96 =
  12. 12.8473 ÷ 89 =
  13. 13.63423 ÷ 89 =
  14. 14.86966 ÷ 88 =
  15. 15.254523 ÷ 998 =
  16. 16.266738 ÷ 998 =
  17. 17.98046 ÷ 88 =
  18. 18.302314 ÷ 988 =
  19. 19.69399 ÷ 88 =
  20. 20.967131 ÷ 897 =
  21. 21.75547 ÷ 897 =
  22. 22.84104 ÷ 89 =
  23. 23.72884 ÷ 98 =
  24. 24.695171 ÷ 989 =
  25. 25.8613 ÷ 8 =
  26. 26.64905 ÷ 989 =
  27. 27.548837 ÷ 998 =
  28. 28.8777 ÷ 96 =
  29. 29.6822 ÷ 96 =
  30. 30.34581 ÷ 98 =
  31. 31.5272 ÷ 8 =
  32. 32.4192 ÷ 8 =
  33. 33.92495 ÷ 88 =
  34. 34.34115 ÷ 88 =
  35. 35.889806 ÷ 997 =
  36. 36.887495 ÷ 997 =
  37. 37.86921 ÷ 897 =
  38. 38.374178 ÷ 988 =
  39. 39.885509 ÷ 998 =
  40. 40.292551 ÷ 998 =

Answer key

  1. 184 rem 73
  2. 177 rem 426
  3. 990 rem 2
  4. 61 rem 14
  5. 552 rem 71
  6. 282 rem 65
  7. 100 rem 20
  8. 89 rem 2
  9. 826 rem 944
  10. 636 rem 44
  11. 823 rem 53
  12. 95 rem 18
  13. 712 rem 55
  14. 988 rem 22
  15. 255 rem 33
  16. 267 rem 272
  17. 1114 rem 14
  18. 305 rem 974
  19. 788 rem 55
  20. 1078 rem 165
  21. 84 rem 199
  22. 944 rem 88
  23. 743 rem 70
  24. 702 rem 893
  25. 1076 rem 5
  26. 65 rem 620
  27. 549 rem 935
  28. 91 rem 41
  29. 71 rem 6
  30. 352 rem 85
  31. 659 rem 0
  32. 524 rem 0
  33. 1051 rem 7
  34. 387 rem 59
  35. 892 rem 482
  36. 890 rem 165
  37. 96 rem 809
  38. 378 rem 714
  39. 887 rem 283
  40. 293 rem 137

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