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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 636 · 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. 1.3933 ÷ 8 =
  2. 2.58487 ÷ 98 =
  3. 3.31979 ÷ 997 =
  4. 4.7015 ÷ 88 =
  5. 5.916686 ÷ 897 =
  6. 6.1515 ÷ 98 =
  7. 7.6107 ÷ 98 =
  8. 8.654030 ÷ 989 =
  9. 9.2457 ÷ 8 =
  10. 10.5567 ÷ 97 =
  11. 11.27600 ÷ 89 =
  12. 12.28524 ÷ 88 =
  13. 13.18301 ÷ 88 =
  14. 14.750046 ÷ 998 =
  15. 15.759909 ÷ 989 =
  16. 16.94201 ÷ 89 =
  17. 17.65494 ÷ 97 =
  18. 18.387918 ÷ 997 =
  19. 19.50578 ÷ 88 =
  20. 20.50933 ÷ 98 =
  21. 21.73824 ÷ 96 =
  22. 22.40550 ÷ 88 =
  23. 23.60349 ÷ 97 =
  24. 24.81454 ÷ 88 =
  25. 25.683668 ÷ 998 =
  26. 26.56174 ÷ 988 =
  27. 27.75273 ÷ 89 =
  28. 28.29892 ÷ 96 =
  29. 29.30244 ÷ 88 =
  30. 30.24136 ÷ 98 =
  31. 31.15990 ÷ 88 =
  32. 32.532887 ÷ 998 =
  33. 33.8460 ÷ 8 =
  34. 34.71639 ÷ 97 =
  35. 35.6509 ÷ 8 =
  36. 36.9791 ÷ 8 =
  37. 37.42507 ÷ 89 =
  38. 38.233458 ÷ 897 =
  39. 39.96130 ÷ 89 =
  40. 40.529579 ÷ 989 =

Answer key

  1. 491 rem 5
  2. 596 rem 79
  3. 32 rem 75
  4. 79 rem 63
  5. 1021 rem 849
  6. 15 rem 45
  7. 62 rem 31
  8. 661 rem 301
  9. 307 rem 1
  10. 57 rem 38
  11. 310 rem 10
  12. 324 rem 12
  13. 207 rem 85
  14. 751 rem 548
  15. 768 rem 357
  16. 1058 rem 39
  17. 675 rem 19
  18. 389 rem 85
  19. 574 rem 66
  20. 519 rem 71
  21. 769 rem 0
  22. 460 rem 70
  23. 622 rem 15
  24. 925 rem 54
  25. 685 rem 38
  26. 56 rem 846
  27. 845 rem 68
  28. 311 rem 36
  29. 343 rem 60
  30. 246 rem 28
  31. 181 rem 62
  32. 533 rem 953
  33. 1057 rem 4
  34. 738 rem 53
  35. 813 rem 5
  36. 1223 rem 7
  37. 477 rem 54
  38. 260 rem 238
  39. 1080 rem 10
  40. 535 rem 464

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