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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 458 · 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. 1.634391 ÷ 989 =
  2. 2.943549 ÷ 989 =
  3. 3.758576 ÷ 988 =
  4. 4.38013 ÷ 88 =
  5. 5.214728 ÷ 988 =
  6. 6.65407 ÷ 98 =
  7. 7.31362 ÷ 89 =
  8. 8.11505 ÷ 97 =
  9. 9.85700 ÷ 89 =
  10. 10.426396 ÷ 897 =
  11. 11.48356 ÷ 97 =
  12. 12.990516 ÷ 988 =
  13. 13.38517 ÷ 98 =
  14. 14.97949 ÷ 97 =
  15. 15.41737 ÷ 98 =
  16. 16.94104 ÷ 98 =
  17. 17.29284 ÷ 89 =
  18. 18.45079 ÷ 89 =
  19. 19.798426 ÷ 897 =
  20. 20.64968 ÷ 98 =
  21. 21.642818 ÷ 989 =
  22. 22.73593 ÷ 997 =
  23. 23.49624 ÷ 88 =
  24. 24.940993 ÷ 989 =
  25. 25.828715 ÷ 998 =
  26. 26.250882 ÷ 989 =
  27. 27.566345 ÷ 998 =
  28. 28.617937 ÷ 989 =
  29. 29.684480 ÷ 998 =
  30. 30.941486 ÷ 997 =
  31. 31.63346 ÷ 88 =
  32. 32.363380 ÷ 989 =
  33. 33.74514 ÷ 89 =
  34. 34.9207 ÷ 8 =
  35. 35.106734 ÷ 988 =
  36. 36.747603 ÷ 997 =
  37. 37.26468 ÷ 96 =
  38. 38.66685 ÷ 89 =
  39. 39.9012 ÷ 8 =
  40. 40.851569 ÷ 997 =

Answer key

  1. 641 rem 442
  2. 954 rem 43
  3. 767 rem 780
  4. 431 rem 85
  5. 217 rem 332
  6. 667 rem 41
  7. 352 rem 34
  8. 118 rem 59
  9. 962 rem 82
  10. 475 rem 321
  11. 498 rem 50
  12. 1002 rem 540
  13. 393 rem 3
  14. 1009 rem 76
  15. 425 rem 87
  16. 960 rem 24
  17. 329 rem 3
  18. 506 rem 45
  19. 890 rem 96
  20. 662 rem 92
  21. 649 rem 957
  22. 73 rem 812
  23. 563 rem 80
  24. 951 rem 454
  25. 830 rem 375
  26. 253 rem 665
  27. 567 rem 479
  28. 624 rem 801
  29. 685 rem 850
  30. 944 rem 318
  31. 719 rem 74
  32. 367 rem 417
  33. 837 rem 21
  34. 1150 rem 7
  35. 108 rem 30
  36. 749 rem 850
  37. 275 rem 68
  38. 749 rem 24
  39. 1126 rem 4
  40. 854 rem 131

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