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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 393 · 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. 1.621972 ÷ 997 =
  2. 2.78761 ÷ 89 =
  3. 3.486181 ÷ 989 =
  4. 4.36270 ÷ 97 =
  5. 5.65536 ÷ 98 =
  6. 6.56655 ÷ 98 =
  7. 7.85351 ÷ 88 =
  8. 8.9310 ÷ 8 =
  9. 9.7563 ÷ 8 =
  10. 10.696220 ÷ 998 =
  11. 11.94294 ÷ 96 =
  12. 12.391041 ÷ 989 =
  13. 13.6932 ÷ 8 =
  14. 14.39663 ÷ 97 =
  15. 15.27354 ÷ 88 =
  16. 16.730698 ÷ 988 =
  17. 17.29820 ÷ 98 =
  18. 18.12308 ÷ 97 =
  19. 19.2270 ÷ 8 =
  20. 20.3203 ÷ 8 =
  21. 21.990739 ÷ 988 =
  22. 22.80019 ÷ 97 =
  23. 23.76624 ÷ 97 =
  24. 24.578103 ÷ 989 =
  25. 25.46817 ÷ 89 =
  26. 26.82649 ÷ 897 =
  27. 27.255806 ÷ 989 =
  28. 28.997512 ÷ 988 =
  29. 29.87620 ÷ 98 =
  30. 30.937036 ÷ 989 =
  31. 31.9821 ÷ 89 =
  32. 32.84694 ÷ 89 =
  33. 33.575578 ÷ 989 =
  34. 34.823101 ÷ 989 =
  35. 35.641 ÷ 8 =
  36. 36.317206 ÷ 897 =
  37. 37.88854 ÷ 89 =
  38. 38.763441 ÷ 998 =
  39. 39.949305 ÷ 998 =
  40. 40.41801 ÷ 98 =

Answer key

  1. 623 rem 841
  2. 884 rem 85
  3. 491 rem 582
  4. 373 rem 89
  5. 668 rem 72
  6. 578 rem 11
  7. 969 rem 79
  8. 1163 rem 6
  9. 945 rem 3
  10. 697 rem 614
  11. 982 rem 22
  12. 395 rem 386
  13. 866 rem 4
  14. 408 rem 87
  15. 310 rem 74
  16. 739 rem 566
  17. 304 rem 28
  18. 126 rem 86
  19. 283 rem 6
  20. 400 rem 3
  21. 1002 rem 763
  22. 824 rem 91
  23. 789 rem 91
  24. 584 rem 527
  25. 526 rem 3
  26. 92 rem 125
  27. 258 rem 644
  28. 1009 rem 620
  29. 894 rem 8
  30. 947 rem 453
  31. 110 rem 31
  32. 951 rem 55
  33. 581 rem 969
  34. 832 rem 253
  35. 80 rem 1
  36. 353 rem 565
  37. 998 rem 32
  38. 764 rem 969
  39. 951 rem 207
  40. 426 rem 53

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