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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 853 · 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. 1.46796 ÷ 97 =
  2. 2.7937 ÷ 8 =
  3. 3.99406 ÷ 88 =
  4. 4.69401 ÷ 88 =
  5. 5.27919 ÷ 88 =
  6. 6.3922 ÷ 98 =
  7. 7.71043 ÷ 88 =
  8. 8.153149 ÷ 989 =
  9. 9.643952 ÷ 988 =
  10. 10.48061 ÷ 96 =
  11. 11.12256 ÷ 89 =
  12. 12.34300 ÷ 96 =
  13. 13.75759 ÷ 89 =
  14. 14.939610 ÷ 997 =
  15. 15.9284 ÷ 8 =
  16. 16.51380 ÷ 96 =
  17. 17.134020 ÷ 988 =
  18. 18.94593 ÷ 97 =
  19. 19.7051 ÷ 8 =
  20. 20.268785 ÷ 997 =
  21. 21.21118 ÷ 96 =
  22. 22.407522 ÷ 988 =
  23. 23.94370 ÷ 88 =
  24. 24.40533 ÷ 998 =
  25. 25.291674 ÷ 997 =
  26. 26.77148 ÷ 988 =
  27. 27.51571 ÷ 97 =
  28. 28.200137 ÷ 988 =
  29. 29.29956 ÷ 97 =
  30. 30.22650 ÷ 96 =
  31. 31.264770 ÷ 998 =
  32. 32.20820 ÷ 96 =
  33. 33.148089 ÷ 989 =
  34. 34.30027 ÷ 96 =
  35. 35.15873 ÷ 96 =
  36. 36.104052 ÷ 988 =
  37. 37.837754 ÷ 897 =
  38. 38.5481 ÷ 8 =
  39. 39.98248 ÷ 988 =
  40. 40.746259 ÷ 988 =

Answer key

  1. 482 rem 42
  2. 992 rem 1
  3. 1129 rem 54
  4. 788 rem 57
  5. 317 rem 23
  6. 40 rem 2
  7. 807 rem 27
  8. 154 rem 843
  9. 651 rem 764
  10. 500 rem 61
  11. 137 rem 63
  12. 357 rem 28
  13. 851 rem 20
  14. 942 rem 436
  15. 1160 rem 4
  16. 535 rem 20
  17. 135 rem 640
  18. 975 rem 18
  19. 881 rem 3
  20. 269 rem 592
  21. 219 rem 94
  22. 412 rem 466
  23. 1072 rem 34
  24. 40 rem 613
  25. 292 rem 550
  26. 78 rem 84
  27. 531 rem 64
  28. 202 rem 561
  29. 308 rem 80
  30. 235 rem 90
  31. 265 rem 300
  32. 216 rem 84
  33. 149 rem 728
  34. 312 rem 75
  35. 165 rem 33
  36. 105 rem 312
  37. 933 rem 853
  38. 685 rem 1
  39. 99 rem 436
  40. 755 rem 319

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