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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 132 · 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. 1.4205 ÷ 8 =
  2. 2.8173 ÷ 88 =
  3. 3.841821 ÷ 998 =
  4. 4.201182 ÷ 897 =
  5. 5.118894 ÷ 998 =
  6. 6.44182 ÷ 96 =
  7. 7.36495 ÷ 97 =
  8. 8.653503 ÷ 998 =
  9. 9.8258 ÷ 8 =
  10. 10.61061 ÷ 89 =
  11. 11.57988 ÷ 998 =
  12. 12.54823 ÷ 97 =
  13. 13.598208 ÷ 997 =
  14. 14.9979 ÷ 8 =
  15. 15.98489 ÷ 97 =
  16. 16.426195 ÷ 998 =
  17. 17.90932 ÷ 97 =
  18. 18.55648 ÷ 97 =
  19. 19.2434 ÷ 8 =
  20. 20.299113 ÷ 998 =
  21. 21.404743 ÷ 998 =
  22. 22.15615 ÷ 997 =
  23. 23.645292 ÷ 989 =
  24. 24.858963 ÷ 897 =
  25. 25.7250 ÷ 8 =
  26. 26.22290 ÷ 98 =
  27. 27.14534 ÷ 88 =
  28. 28.27700 ÷ 98 =
  29. 29.86319 ÷ 88 =
  30. 30.601252 ÷ 897 =
  31. 31.3548 ÷ 8 =
  32. 32.425 ÷ 8 =
  33. 33.919329 ÷ 998 =
  34. 34.881531 ÷ 998 =
  35. 35.17846 ÷ 89 =
  36. 36.18300 ÷ 98 =
  37. 37.13109 ÷ 97 =
  38. 38.999731 ÷ 997 =
  39. 39.31581 ÷ 89 =
  40. 40.369509 ÷ 988 =

Answer key

  1. 525 rem 5
  2. 92 rem 77
  3. 843 rem 507
  4. 224 rem 254
  5. 119 rem 132
  6. 460 rem 22
  7. 376 rem 23
  8. 654 rem 811
  9. 1032 rem 2
  10. 686 rem 7
  11. 58 rem 104
  12. 565 rem 18
  13. 600 rem 8
  14. 1247 rem 3
  15. 1015 rem 34
  16. 427 rem 49
  17. 937 rem 43
  18. 573 rem 67
  19. 304 rem 2
  20. 299 rem 711
  21. 405 rem 553
  22. 15 rem 660
  23. 652 rem 464
  24. 957 rem 534
  25. 906 rem 2
  26. 227 rem 44
  27. 165 rem 14
  28. 282 rem 64
  29. 980 rem 79
  30. 670 rem 262
  31. 443 rem 4
  32. 53 rem 1
  33. 921 rem 171
  34. 883 rem 297
  35. 200 rem 46
  36. 186 rem 72
  37. 135 rem 14
  38. 1002 rem 737
  39. 354 rem 75
  40. 373 rem 985

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