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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 529 · 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. 1.787361 ÷ 988 =
  2. 2.22162 ÷ 98 =
  3. 3.72278 ÷ 96 =
  4. 4.396586 ÷ 988 =
  5. 5.2324 ÷ 89 =
  6. 6.39585 ÷ 98 =
  7. 7.88095 ÷ 97 =
  8. 8.51046 ÷ 89 =
  9. 9.87907 ÷ 89 =
  10. 10.208900 ÷ 988 =
  11. 11.11131 ÷ 88 =
  12. 12.73078 ÷ 96 =
  13. 13.99634 ÷ 97 =
  14. 14.31688 ÷ 98 =
  15. 15.165550 ÷ 989 =
  16. 16.7359 ÷ 8 =
  17. 17.10369 ÷ 98 =
  18. 18.69955 ÷ 96 =
  19. 19.5200 ÷ 8 =
  20. 20.136889 ÷ 988 =
  21. 21.4930 ÷ 8 =
  22. 22.78137 ÷ 96 =
  23. 23.63617 ÷ 96 =
  24. 24.1639 ÷ 8 =
  25. 25.566445 ÷ 989 =
  26. 26.21505 ÷ 998 =
  27. 27.5848 ÷ 8 =
  28. 28.515292 ÷ 997 =
  29. 29.702437 ÷ 897 =
  30. 30.225270 ÷ 988 =
  31. 31.9131 ÷ 8 =
  32. 32.150611 ÷ 989 =
  33. 33.4128 ÷ 97 =
  34. 34.7515 ÷ 8 =
  35. 35.435704 ÷ 897 =
  36. 36.336412 ÷ 897 =
  37. 37.269271 ÷ 997 =
  38. 38.45360 ÷ 97 =
  39. 39.626640 ÷ 988 =
  40. 40.11502 ÷ 89 =

Answer key

  1. 796 rem 913
  2. 226 rem 14
  3. 752 rem 86
  4. 401 rem 398
  5. 26 rem 10
  6. 403 rem 91
  7. 908 rem 19
  8. 573 rem 49
  9. 987 rem 64
  10. 211 rem 432
  11. 126 rem 43
  12. 761 rem 22
  13. 1027 rem 15
  14. 323 rem 34
  15. 167 rem 387
  16. 919 rem 7
  17. 105 rem 79
  18. 728 rem 67
  19. 650 rem 0
  20. 138 rem 545
  21. 616 rem 2
  22. 813 rem 89
  23. 662 rem 65
  24. 204 rem 7
  25. 572 rem 737
  26. 21 rem 547
  27. 731 rem 0
  28. 516 rem 840
  29. 783 rem 86
  30. 228 rem 6
  31. 1141 rem 3
  32. 152 rem 283
  33. 42 rem 54
  34. 939 rem 3
  35. 485 rem 659
  36. 375 rem 37
  37. 270 rem 81
  38. 467 rem 61
  39. 634 rem 248
  40. 129 rem 21

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