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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 194 · 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. 1.11444 ÷ 97 =
  2. 2.91437 ÷ 97 =
  3. 3.3279 ÷ 8 =
  4. 4.2888 ÷ 8 =
  5. 5.47070 ÷ 98 =
  6. 6.573793 ÷ 988 =
  7. 7.212070 ÷ 988 =
  8. 8.551534 ÷ 988 =
  9. 9.506426 ÷ 997 =
  10. 10.31833 ÷ 97 =
  11. 11.525248 ÷ 989 =
  12. 12.35706 ÷ 97 =
  13. 13.42880 ÷ 98 =
  14. 14.27865 ÷ 989 =
  15. 15.548603 ÷ 988 =
  16. 16.317867 ÷ 998 =
  17. 17.158362 ÷ 897 =
  18. 18.8719 ÷ 8 =
  19. 19.882106 ÷ 998 =
  20. 20.34262 ÷ 88 =
  21. 21.907464 ÷ 988 =
  22. 22.795486 ÷ 997 =
  23. 23.54846 ÷ 88 =
  24. 24.573164 ÷ 989 =
  25. 25.16041 ÷ 89 =
  26. 26.270086 ÷ 989 =
  27. 27.668602 ÷ 897 =
  28. 28.25028 ÷ 89 =
  29. 29.85288 ÷ 97 =
  30. 30.11870 ÷ 88 =
  31. 31.229312 ÷ 997 =
  32. 32.7241 ÷ 8 =
  33. 33.318024 ÷ 989 =
  34. 34.37581 ÷ 88 =
  35. 35.814702 ÷ 988 =
  36. 36.357837 ÷ 997 =
  37. 37.21555 ÷ 96 =
  38. 38.45494 ÷ 97 =
  39. 39.10660 ÷ 89 =
  40. 40.53749 ÷ 98 =

Answer key

  1. 117 rem 95
  2. 942 rem 63
  3. 409 rem 7
  4. 361 rem 0
  5. 480 rem 30
  6. 580 rem 753
  7. 214 rem 638
  8. 558 rem 230
  9. 507 rem 947
  10. 328 rem 17
  11. 531 rem 89
  12. 368 rem 10
  13. 437 rem 54
  14. 28 rem 173
  15. 555 rem 263
  16. 318 rem 503
  17. 176 rem 490
  18. 1089 rem 7
  19. 883 rem 872
  20. 389 rem 30
  21. 918 rem 480
  22. 797 rem 877
  23. 623 rem 22
  24. 579 rem 533
  25. 180 rem 21
  26. 273 rem 89
  27. 745 rem 337
  28. 281 rem 19
  29. 879 rem 25
  30. 134 rem 78
  31. 230 rem 2
  32. 905 rem 1
  33. 321 rem 555
  34. 427 rem 5
  35. 824 rem 590
  36. 358 rem 911
  37. 224 rem 51
  38. 469 rem 1
  39. 119 rem 69
  40. 548 rem 45

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