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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 179 · 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. 1.386713 ÷ 988 =
  2. 2.93834 ÷ 97 =
  3. 3.26846 ÷ 88 =
  4. 4.558652 ÷ 989 =
  5. 5.83883 ÷ 89 =
  6. 6.68557 ÷ 98 =
  7. 7.310046 ÷ 988 =
  8. 8.77558 ÷ 97 =
  9. 9.461517 ÷ 988 =
  10. 10.99781 ÷ 96 =
  11. 11.3359 ÷ 8 =
  12. 12.568264 ÷ 989 =
  13. 13.446698 ÷ 897 =
  14. 14.2749 ÷ 8 =
  15. 15.7059 ÷ 8 =
  16. 16.71258 ÷ 97 =
  17. 17.39959 ÷ 88 =
  18. 18.20336 ÷ 989 =
  19. 19.649847 ÷ 897 =
  20. 20.160357 ÷ 988 =
  21. 21.8108 ÷ 8 =
  22. 22.15783 ÷ 88 =
  23. 23.717439 ÷ 897 =
  24. 24.8982 ÷ 8 =
  25. 25.75524 ÷ 89 =
  26. 26.685910 ÷ 988 =
  27. 27.95579 ÷ 88 =
  28. 28.578824 ÷ 998 =
  29. 29.368548 ÷ 897 =
  30. 30.2952 ÷ 8 =
  31. 31.145777 ÷ 997 =
  32. 32.832647 ÷ 897 =
  33. 33.21832 ÷ 98 =
  34. 34.97195 ÷ 988 =
  35. 35.979920 ÷ 897 =
  36. 36.484450 ÷ 988 =
  37. 37.80937 ÷ 88 =
  38. 38.160568 ÷ 897 =
  39. 39.83386 ÷ 89 =
  40. 40.42213 ÷ 98 =

Answer key

  1. 391 rem 405
  2. 967 rem 35
  3. 305 rem 6
  4. 564 rem 856
  5. 942 rem 45
  6. 699 rem 55
  7. 313 rem 802
  8. 799 rem 55
  9. 467 rem 121
  10. 1039 rem 37
  11. 419 rem 7
  12. 574 rem 578
  13. 497 rem 889
  14. 343 rem 5
  15. 882 rem 3
  16. 734 rem 60
  17. 454 rem 7
  18. 20 rem 556
  19. 724 rem 419
  20. 162 rem 301
  21. 1013 rem 4
  22. 179 rem 31
  23. 799 rem 736
  24. 1122 rem 6
  25. 848 rem 52
  26. 694 rem 238
  27. 1086 rem 11
  28. 579 rem 982
  29. 410 rem 778
  30. 369 rem 0
  31. 146 rem 215
  32. 928 rem 231
  33. 222 rem 76
  34. 98 rem 371
  35. 1092 rem 396
  36. 490 rem 330
  37. 919 rem 65
  38. 179 rem 5
  39. 936 rem 82
  40. 430 rem 73

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